Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
1969; Society for Industrial and Applied Mathematics; Volume: 17; Issue: 2 Linguagem: Inglês
10.1137/0117041
ISSN1095-712X
Autores Tópico(s)Mathematical functions and polynomials
ResumoPrevious article Next article Conditions for Positive and Nonnegative Definiteness in Terms of PseudoinversesArthur AlbertArthur Alberthttps://doi.org/10.1137/0117041PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York, 1960xx+328 MR0122820 0124.01001 Google Scholar[2] A. Ben-Israel and , A. Charnes, Contributions to the theory of generalized inverses, J. Soc. Indust. Appl. Math., 11 (1963), 667–699 10.1137/0111051 MR0179192 0116.32202 LinkISIGoogle Scholar[3] T. N. E. Greville, Some applications of the pseudoinverse of a matrix, SIAM Rev., 2 (1960), 15–22 10.1137/1002004 MR0110185 0168.13303 LinkISIGoogle Scholar[4] Charles A. Rohde, Generalized inverses of partitioned matrices, J. Soc. Indust. Appl. Math., 13 (1965), 1033–1035 10.1137/0113070 MR0190161 0145.03801 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear OdesConstantin Carle and Marlis HochbruckSIAM Journal on Numerical Analysis, Vol. 60, No. 5 | 13 October 2022AbstractPDF (1129 KB)The truncated moment problem on the union of parallel linesLinear Algebra and its Applications, Vol. 649 | 1 Sep 2022 Cross Ref On the non-symmetric semidefinite Procrustes problemLinear Algebra and its Applications, Vol. 648 | 1 Sep 2022 Cross Ref Dynamic discrete-time portfolio selection for defined contribution pension funds with inflation riskJournal of Industrial & Management Optimization, Vol. 18, No. 1 | 1 Jan 2022 Cross Ref Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts DiscretizationsJournal of Scientific Computing, Vol. 90, No. 1 | 10 December 2021 Cross Ref Nesbitt and Shapiro cyclic sum inequalities for positive definite matricesAdvances in Operator Theory, Vol. 7, No. 1 | 16 November 2021 Cross Ref Inverse eigenvalue problems for discrete gyroscopic systemsInverse Problems in Science and Engineering, Vol. 29, No. 12 | 8 February 2021 Cross Ref Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operatorsJournal of Computational Physics, Vol. 445 | 1 Nov 2021 Cross Ref An alternative approach for solving the quadratic matrix equation C∗X∗AXC+C∗X∗B+B∗XC+D=0Journal of Computational and Applied Mathematics, Vol. 203–204 | 1 Nov 2021 Cross Ref Robust PI Observer Design of the Welding Process Model2021 China Automation Congress (CAC) | 22 Oct 2021 Cross Ref Infinite horizon LQ Nash Games for SDEs with infinite jumpsAsian Journal of Control, Vol. 23, No. 5 | 21 July 2020 Cross Ref Minimal-norm static feedbacks using dissipative Hamiltonian matricesLinear Algebra and its Applications, Vol. 623 | 1 Aug 2021 Cross Ref Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systemsNumerical Linear Algebra with Applications, Vol. 29 | 14 July 2021 Cross Ref Observer-based multiplicative passive control for a class of uncertain time-delay sampled-data system2021 IEEE 4th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC) | 18 Jun 2021 Cross Ref The Truncated Hamburger Moment Problems with Gaps in the Index SetIntegral Equations and Operator Theory, Vol. 93, No. 3 | 30 April 2021 Cross Ref Non-fragile load frequency control of multi-area power system with energy storage system and wind power subject to circular pole constraintsSustainable Energy Technologies and Assessments, Vol. 45 | 1 Jun 2021 Cross Ref Matrices with positive semidefinite real partLinear and Multilinear Algebra, Vol. 69, No. 3 | 11 April 2019 Cross Ref Semidefinite relaxation for the total least squares problem with Tikhonov-like regularizationOptimization, Vol. 70, No. 2 | 10 January 2020 Cross Ref The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $AIMS Mathematics, Vol. 7, No. 1 | 1 Jan 2021 Cross Ref The Re-nnd and Re-pd solutions to the matrix equations AX = C , XB = DLinear and Multilinear Algebra, Vol. 236 | 11 November 2020 Cross Ref On the estimation of unknown distances for a class of Euclidean distance matrix completion problems with interval dataLinear Algebra and its Applications, Vol. 592 | 1 May 2020 Cross Ref Linearly involved generalized Moreau enhanced models and their proximal splitting algorithm under overall convexity conditionInverse Problems, Vol. 36, No. 3 | 11 February 2020 Cross Ref A unified treatment for the restricted solutions of the matrix equation $AXB=C$AIMS Mathematics, Vol. 5, No. 6 | 1 Jan 2020 Cross Ref A Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing"Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory | 19 September 2020 Cross Ref Stochastic linear quadratic differential games in a state feedback setting with sampled measurementsSystems & Control Letters, Vol. 134 | 1 Dec 2019 Cross Ref On the stochastic linear quadratic control problem with piecewise constant admissible controlsJournal of the Franklin Institute | 1 Nov 2019 Cross Ref LEO-Py: Estimating likelihoods for correlated, censored, and uncertain data with given marginal distributionsAstronomy and Computing, Vol. 29 | 1 Oct 2019 Cross Ref Observed-based on Robust Control for a Class of the Welding Process Systems2019 Chinese Control And Decision Conference (CCDC) | 1 Jun 2019 Cross Ref Indefinite LQ optimal control with cross term for discrete‐time uncertain systemsMathematical Methods in the Applied Sciences, Vol. 42, No. 4 | 5 December 2018 Cross Ref Geometric properties for level sets of quadratic functionsJournal of Global Optimization, Vol. 73, No. 2 | 4 October 2018 Cross Ref An ordination approach to explore similarities among communitiesJournal of Theoretical Biology, Vol. 462 | 1 Feb 2019 Cross Ref Voltage control for uncertain stochastic nonlinear system with application to energy Internet: Non-fragile robust H ∞ approachJournal of Mathematical Analysis and Applications, Vol. 463, No. 1 | 1 Jul 2018 Cross Ref Completion of Symmetric Orthogonal Matrices and Corresponding Matrix Equation ProblemInternational Journal of Applied and Computational Mathematics, Vol. 4, No. 3 | 4 June 2018 Cross Ref Observer-based additive H ∞ control for a class of uncertain time-delay sampled-data system2018 Chinese Control And Decision Conference (CCDC) | 1 Jun 2018 Cross Ref Low-Rank Modifications of Riccati Factorizations for Model Predictive ControlIEEE Transactions on Automatic Control, Vol. 63, No. 3 | 1 Mar 2018 Cross Ref A semi-analytical approach for the positive semidefinite Procrustes problemLinear Algebra and its Applications, Vol. 540 | 1 Mar 2018 Cross Ref A note on the convexity of the Moore–Penrose inverseLinear Algebra and its Applications, Vol. 538 | 1 Feb 2018 Cross Ref Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance propertiesLinear and Multilinear Algebra, Vol. 66, No. 1 | 1 March 2017 Cross Ref The Regular Indefinite Linear Quadratic Optimal Control Problem: Stabilizable CaseMarijan Vukosavljev, Angela P. Schoellig, and Mireille E. BrouckeSIAM Journal on Control and Optimization, Vol. 56, No. 1 | 20 February 2018AbstractPDF (454 KB)ReferenceStochastic H 2 /H ∞ Control | 1 September 2017 Cross Ref Non-fragile control for the welding process systems by pole constraints2017 29th Chinese Control And Decision Conference (CCDC) | 1 May 2017 Cross Ref Variational Gram Functions: Convex Analysis and OptimizationAmin Jalali, Maryam Fazel, and Lin XiaoSIAM Journal on Optimization, Vol. 27, No. 4 | 21 December 2017AbstractPDF (903 KB)A Parameterized Method for Optimal Multi-Period Mean-Variance Portfolio Selection with LiabilityOptimization and Control for Systems in the Big-Data Era | 6 May 2017 Cross Ref On reduced semidefinite programs for second order moment bounds with applicationsMathematical Programming, Vol. 161, No. 1-2 | 30 April 2016 Cross Ref A General Hermitian Nonnegative-Definite Solution to the Matrix Equation AXB = CAdvances in Linear Algebra & Matrix Theory, Vol. 07, No. 01 | 1 Jan 2017 Cross Ref Output feedback control of rational nonlinear systems: A new approach based on passivity indices2016 IEEE 55th Conference on Decision and Control (CDC) | 1 Dec 2016 Cross Ref Indefinite Mean-Field Stochastic Linear-Quadratic Optimal Control: From Finite Horizon to Infinite HorizonIEEE Transactions on Automatic Control, Vol. 61, No. 11 | 1 Nov 2016 Cross Ref On the Equivalence Between Strict Positive Realness and Strict Passivity of Linear SystemsIEEE Transactions on Automatic Control, Vol. 61, No. 10 | 1 Oct 2016 Cross Ref Partial stabilizability and hidden convexity of indefinite LQ problemNumerical Algebra, Control and Optimization, Vol. 6, No. 3 | 1 Sep 2016 Cross Ref Multi-period mean-variance portfolio selection with stochastic interest rate and uncontrollable liabilityEuropean Journal of Operational Research, Vol. 252, No. 3 | 1 Aug 2016 Cross Ref Asymptotic stabilization of nonlinear systems using passivity indices2016 American Control Conference (ACC) | 1 Jul 2016 Cross Ref Robust control of sampled-data system subject to input time-delay2016 35th Chinese Control Conference (CCC) | 1 Jul 2016 Cross Ref Co-design of dynamic scheduling and H∞ filter for networked control systems with communication constraints2016 Chinese Control and Decision Conference (CCDC) | 1 May 2016 Cross Ref A New Matrix Splitting Based Relaxation for the Quadratic Assignment ProblemMathematical Aspects of Computer and Information Sciences | 16 April 2016 Cross Ref Robotic Surveillance and Markov Chains With Minimal Weighted Kemeny ConstantIEEE Transactions on Automatic Control, Vol. 60, No. 12 | 1 Dec 2015 Cross Ref Feedback control of nonlinear systems using passivity indices2015 IEEE Conference on Control Applications (CCA) | 1 Sep 2015 Cross Ref The matrix pencil nearness problem in structural dynamic model updatingJournal of Engineering Mathematics, Vol. 93, No. 1 | 17 June 2015 Cross Ref Infinite horizon indefinite stochastic linear quadratic control for discrete-time systemsControl Theory and Technology, Vol. 13, No. 3 | 7 August 2015 Cross Ref Indefinite Mean-Field Stochastic Linear-Quadratic Optimal ControlIEEE Transactions on Automatic Control, Vol. 60, No. 7 | 1 Jul 2015 Cross Ref A constrained matrix least-squares problem in structural dynamics model updatingJournal of Computational and Applied Mathematics, Vol. 280 | 1 May 2015 Cross Ref The Re-nonnegative definite and Re-positive definite solutions to the matrix equation AXB=DApplied Mathematics and Computation, Vol. 256 | 1 Apr 2015 Cross Ref Enabling community-driven information integration through clusteringDistributed and Parallel Databases, Vol. 33, No. 1 | 25 October 2014 Cross Ref Finite-Horizon Indefinite Mean-Field Stochastic Linear-Quadratic Optimal ControlIFAC-PapersOnLine, Vol. 48, No. 28 | 1 Jan 2015 Cross Ref Stochastic Linear Quadratic Optimal Control with Indefinite Control Weights and Constraint for Discrete-Time SystemsMathematical Problems in Engineering, Vol. 2015 | 1 Jan 2015 Cross Ref A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizonMathematical Control and Related Fields, Vol. 5, No. 1 | 1 Jan 2015 Cross Ref Construction of algebraically stable DIMSIMsJournal of Computational and Applied Mathematics, Vol. 261 | 1 May 2014 Cross Ref Robust Stability of Sampling System with Input Time-DelayApplied Mechanics and Materials, Vol. 494-495 | 1 February 2014 Cross Ref Discrete-Time Indefinite Stochastic Linear Quadratic Optimal Control with Second Moment ConstraintsMathematical Problems in Engineering, Vol. 2014 | 1 Jan 2014 Cross Ref Improvements on Robust Stability of Sampled-Data System with Long Time DelayMathematical Problems in Engineering, Vol. 2014 | 1 Jan 2014 Cross Ref Robust Performance Analysis of Affine Single Parameter-dependent Systems with Polynomially Parameter-dependent Lyapunov MatricesIFAC Proceedings Volumes, Vol. 47, No. 3 | 1 Jan 2014 Cross Ref Numerical search for algebraically stable two-step almost collocation methodsJournal of Computational and Applied Mathematics, Vol. 239 | 1 Feb 2013 Cross Ref Passive Control of Sampling SystemIntelligent Computing for Sustainable Energy and Environment | 1 Jan 2013 Cross Ref Proximal-point method for finite element model updating problemMechanical Systems and Signal Processing, Vol. 34, No. 1-2 | 1 Jan 2013 Cross Ref On the Hermitian structures of the solution to a pair of matrix equationsLinear and Multilinear Algebra, Vol. 61, No. 1 | 1 Jan 2013 Cross Ref Continuous-time mean–variance asset–liability management with endogenous liabilitiesInsurance: Mathematics and Economics, Vol. 52, No. 1 | 1 Jan 2013 Cross Ref Some matrix equations with applications†Linear and Multilinear Algebra, Vol. 60, No. 11-12 | 1 Nov 2012 Cross Ref Search for highly stable two-step Runge–Kutta methodsApplied Numerical Mathematics, Vol. 62, No. 10 | 1 Oct 2012 Cross Ref Schur’s theorem for a block Hadamard productLinear Algebra and its Applications, Vol. 437, No. 3 | 1 Aug 2012 Cross Ref Non-fragile guaranteed-cost ℋ ∞ control for a class of nonlinear sampled-data systemProceedings of the 10th World Congress on Intelligent Control and Automation | 1 Jul 2012 Cross Ref Matrix linear variational inequality approach for finite element model updatingMechanical Systems and Signal Processing, Vol. 28 | 1 Apr 2012 Cross Ref A PRACTICAL APPROACH FOR THE DERIVATION OF ALGEBRAICALLY STABLE TWO-STEP RUNGE-KUTTA METHODSMathematical Modelling and Analysis, Vol. 17, No. 1 | 1 Feb 2012 Cross Ref The First Problem of Algebraic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Fifth Problem of Probabilistic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Nonlinear Problem of the 3d Datum Transformation and the Procrustes AlgorithmLinear and Nonlinear Models | 21 December 2011 Cross Ref The Sixth Problem of Generalized Algebraic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref Special Problems of Algebraic Regression and Stochastic EstimationLinear and Nonlinear Models | 21 December 2011 Cross Ref Algebraic Solutions of Systems of EquationsLinear and Nonlinear Models | 21 December 2011 Cross Ref The First Problem of Probabilistic Regression: The Bias ProblemLinear and Nonlinear Models | 21 December 2011 Cross Ref The Second Problem of Algebraic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Second Problem of Probabilistic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Third Problem of Algebraic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Third Problem of Probabilistic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Fourth Problem of Probabilistic RegressionLinear and Nonlinear Models | 21 December 2011 Cross Ref The Fifth Problem of Algebraic Regression: The System of Conditional Equations: Homogeneous and Inhomogeneous Equations: $$\{\mathbf{By} = \mathbf{Bi}\ \mathbf{versus} -\mathbf{c} + \mathbf{By} = \mathbf{Bi}\}$$Linear and Nonlinear Models | 21 December 2011 Cross Ref Dual approaches to finite element model updatingJournal of Computational and Applied Mathematics, Vol. 236, No. 7 | 1 Jan 2012 Cross Ref Unfragile Guaranteed-Cost H∞ Control of Uncertain State-Delay Sampling SystemProcedia Engineering, Vol. 29 | 1 Jan 2012 Cross Ref BETWEEN OLSE AND BLUEAustralian & New Zealand Journal of Statistics, Vol. 53, No. 3 | 22 December 2011 Cross Ref On the matrix difference I−AComputers & Mathematics with Applications, Vol. 62, No. 5 | 1 Sep 2011 Cross Ref Application research for resilient control of the welding process systems with pole constraintsProceedings of 2011 6th International Forum on Strategic Technology | 1 Aug 2011 Cross Ref Nordsieck methods with computationally verified algebraic stabilityApplied Mathematics and Computation, Vol. 217, No. 21 | 1 Jul 2011 Cross Ref Convexity of the inverse and Moore–Penrose inverseLinear Algebra and its Applications, Vol. 434, No. 6 | 1 Mar 2011 Cross Ref Non-fragile Cost-Guaranteed H∝ Control for a Class of Nonlinear Sampled-data System with Time DelayProcedia Engineering, Vol. 15 | 1 Jan 2011 Cross Ref On Truncated Matricial Stieltjes Type Moment ProblemsComplex Analysis and Operator Theory, Vol. 4, No. 4 | 24 February 2009 Cross Ref Duality Gap Estimation of Linear Equality Constrained Binary Quadratic ProgrammingMathematics of Operations Research, Vol. 35, No. 4 | 1 Nov 2010 Cross Ref Non-fragile H ∞ control for a class of nonlinear sampled-data system2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA) | 1 Sep 2010 Cross Ref On semidefinite representations of non-closed setsLinear Algebra and its Applications, Vol. 432, No. 12 | 1 Jul 2010 Cross Ref Algebraically stable diagonally implicit general linear methodsApplied Numerical Mathematics, Vol. 60, No. 6 | 1 Jun 2010 Cross Ref G-matrices for algebraically stable general linear methodsNumerical Algorithms, Vol. 53, No. 2-3 | 12 May 2009 Cross Ref Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module OperatorsQingxiang Xu, Yimin Wei, and Yangyang GuSIAM Journal on Numerical Analysis, Vol. 47, No. 6 | 24 February 2010AbstractPDF (298 KB)Dynamic hedging of basket options under proportional transaction costs using receding horizon controlInternational Journal of Control, Vol. 82, No. 10 | 6 August 2009 Cross Ref ReferencesGeneral Linear Methods for Ordinary Differential Equations | 10 August 2009 Cross Ref Non-fragile control for nonlinear networked control systems with long time-delayComputers & Mathematics with Applications, Vol. 57, No. 10 | 1 May 2009 Cross Ref On a matrix decomposition of Hartwig and SpindelböckLinear Algebra and its Applications, Vol. 430, No. 10 | 1 May 2009 Cross Ref Algebraically stable general linear methods and the G-matrixBIT Numerical Mathematics, Vol. 49, No. 1 | 30 January 2009 Cross Ref Damping parameter design optimization in structural systems using an explicit norm boundJournal of Sound and Vibration, Vol. 319, No. 3-5 | 1 Jan 2009 Cross Ref An Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order SystemsMathematical Problems in Engineering, Vol. 2009 | 1 Jan 2009 Cross Ref Equations ax=c and xb=d in rings and rings with involution with applications to Hilbert space operatorsLinear Algebra and its Applications, Vol. 429, No. 7 | 1 Oct 2008 Cross Ref The solutions to some operator equationsLinear Algebra and its Applications, Vol. 429, No. 8-9 | 1 Oct 2008 Cross Ref States observer design and stability analysis for networked control systems2008 IEEE International Conference on Systems, Man and Cybernetics | 1 Oct 2008 Cross Ref H ∞ controller design for tracking servo system of blu-ray disc drive system2008 International Conference on Information and Automation | 1 Jun 2008 Cross Ref The (M,N)-symmetric Procrustes problemApplied Mathematics and Computation, Vol. 198, No. 1 | 1 Apr 2008 Cross Ref Shorting selfadjoint operators in Hilbert spacesLinear Algebra and its Applications, Vol. 428, No. 8-9 | 1 Apr 2008 Cross Ref A Stochastic Receding Horizon Control Approach to Constrained Index TrackingAsia-Pacific Financial Markets, Vol. 15, No. 1 | 1 July 2008 Cross Ref Perturbation analysis for the generalized Schur complement of a positive semi-definite matrixNumerical Linear Algebra with Applications, Vol. 15, No. 1 | 1 January 2008 Cross Ref Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB = CJournal of the Australian Mathematical Society, Vol. 84, No. 1 | 1 February 2008 Cross Ref State observer design and stabilization control for a class of nonlinear systems†International Journal of Systems Science, Vol. 39, No. 2 | 1 Feb 2008 Cross Ref Positive semi-definite matrices of adjointable operators on Hilbert C∗ -modulesLinear Algebra and its Applications, Vol. 428, No. 4 | 1 Feb 2008 Cross Ref Joint computation of principal and minor components using gradient dynamical systems over stiefel manifolds2008 47th IEEE Conference on Decision and Control | 1 Jan 2008 Cross Ref Guaranteed Cost Control for Nonlinear Networked Control Systems with Uncertainty2008 International Conference on Computational Intelligence for Modelling Control & Automation | 1 Jan 2008 Cross Ref Positive and real-positive solutions to the equation axa *= c in C *-algebrasLinear and Multilinear Algebra, Vol. 55, No. 6 | 1 Dec 2007 Cross Ref Positive solutions to the equations AX=C and XB=D for Hilbert space operatorsJournal of Mathematical Analysis and Applications, Vol. 333, No. 2 | 1 Sep 2007 Cross Ref Robust strictly dissipative control for discrete singular systemsIET Control Theory & Applications, Vol. 1, No. 4 | 1 Jul 2007 Cross Ref On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation AXAH = BInternational Journal of Computer Mathematics, Vol. 84, No. 6 | 1 Jun 2007 Cross Ref Magnetic resonance tissue quantification using optimal bSSFP pulse-sequence designOptimization and Engineering, Vol. 8, No. 2 | 15 May 2007 Cross Ref Characterizations of normal, hyponormal and EP operatorsJournal of Mathematical Analysis and Applications, Vol. 329, No. 2 | 1 May 2007 Cross Ref Some Remarks on an Interpolation Problem of A. M. YaglomL. KlotzTheory of Probability & Its Applications, Vol. 51, No. 2 | 29 May 2007AbstractPDF (169 KB)Stabilization and control of discrete-time symmetric systemsJournal of the Franklin Institute, Vol. 344, No. 1 | 1 Jan 2007 Cross Ref Damping Parameter Design in Structural Systems Using an Analytical H ∞ Norm Bound ApproachProceedings of the 45th IEEE Conference on Decision and Control | 1 Dec 2006 Cross Ref Implications of Indeterminate Factor-Error Covariances for Factor Construction, Prediction, and DeterminacyPsychometrika, Vol. 71, No. 3 | 7 August 2006 Cross Ref Robust dichotomy for nonlinear uncertain systems2006 Chinese Control Conference | 1 Aug 2006 Cross Ref Statistical Proofs of Some Matrix Theorems *International Statistical Review, Vol. 74, No. 2 | 14 December 2006 Cross Ref Robust Strictly Dissipative Control for Singular Systems with Time-delay and Parameter Uncertainties2007 Chinese Control Conference | 1 Jul 2006 Cross Ref Indefinite Stochastic Linear Quadratic Control in Infinite Time Horizon2007 Chinese Control Conference | 1 Jul 2006 Cross Ref An adaptively trained kernel-based nonlinear representor for handwritten digit classificationJournal of Electronics (China), Vol. 23, No. 3 | 1 May 2006 Cross Ref Linear Multistep Methods as Irreducible General Linear MethodsBIT Numerical Mathematics, Vol. 46, No. 1 | 2 March 2006 Cross Ref Dynamical systems for joint principal and minor component analysis2006 American Control Conference | 1 Jan 2006 Cross Ref Dynamical Systems for Joint Principal and Minor Component Analysis2006 American Control Conference | 1 Jan 2006 Cross Ref Extension and generalization inequalities involving the Khatri-Rao product of several positive matricesJournal of Inequalities and Applications, Vol. 2006 | 1 Jan 2006 Cross Ref Some remarks on an interpolation problem of A. M. YaglomТеория вероятностей и ее применения, Vol. 51, No. 2 | 1 Jan 2006 Cross Ref Adaptive training of a kernel-based nonlinear discriminatorPattern Recognition, Vol. 38, No. 12 | 1 Dec 2005 Cross Ref Pole location control design of an active suspension system with uncertain parametersVehicle System Dynamics, Vol. 43, No. 8 | 1 Aug 2005 Cross Ref Robust input-output energy decoupling for uncertain singular systemsInternational Journal of Automation and Computing, Vol. 2, No. 1 | 1 Jul 2005 Cross Ref Completion of an orthogonal projector and a related inverse mapping problemLinear Algebra and its Applications, Vol. 403 | 1 Jul 2005 Cross Ref Schur complements in C*-algebrasMathematische Nachrichten, Vol. 278, No. 7-8 | 1 Jun 2005 Cross Ref An Improved Estimate of the Asymptotic Stability Region for the Uncertain Variable Structure Systems with Bounded ControlJournal of Control, Automation and Systems Engineering, Vol. 11, No. 6 | 1 Jun 2005 Cross Ref A matrix inequality on Schur complementsJournal of Applied Mathematics and Computing, Vol. 18, No. 1-2 | 1 Mar 2005 Cross Ref On the Moore–Penrose generalized inverse matrixApplied Mathematics and Computation, Vol. 158, No. 1 | 1 Oct 2004 Cross Ref Generalized differential Riccati equation and indefinite stochastic LQ control with cross termApplied Mathematics and Computation, Vol. 155, No. 1 | 1 Jul 2004 Cross Ref Alocação robusta de pólos através de realimentação de estados dependente de parâmetrosSba: Controle & Automação Sociedade Brasileira de Automatica, Vol. 15, No. 2 | 1 Jun 2004 Cross Ref 2 guaranteed cost computation by means of parameter dependent Lyapunov functionsInternational Journal of Systems Science, Vol. 35, No. 5 | 20 Apr 2004 Cross Ref An Analysis and Design Method for Uncertain Variable Structure Systems With Bounded ControllersIEEE Transactions on Automatic Control, Vol. 49, No. 4 | 1 Apr 2004 Cross Ref On a class of rational matrix differential equations arising in stochastic controlLinear Algebra and its Applications, Vol. 379 | 1 Mar 2004 Cross Ref Relationships between partial orders of matrices and their powersLinear Algebra and its Applications, Vol. 379 | 1 Mar 2004 Cross Ref Properties of Schur complements in partitioned idempotent matricesLinear Algebra and its Applications, Vol. 379 | 1 Mar 2004 Cross Ref Estabilidade robusta de sistemas lineares através de desigualdades matriciais linearesSba: Controle & Automação Sociedade Brasileira de Automatica, Vol. 15, No. 1 | 1 Mar 2004 Cross Ref Stochastic Linear-Quadratic Control via Primal-Dual Semidefinite ProgrammingDavid D. Yao, Shuzhong Zhang, and Xun Yu ZhouSIAM Review, Vol. 46, No. 1 | 4 August 2006AbstractPDF (501 KB)The general common Hermitian Nonnegative-definite solution to the matrix equations AXA *= B and CXC *= DLinear and Multilinear Algebra, Vol. 52, No. 1 | 1 Jan 2004 Cross Ref On a moment problem for rational matrix-valued functionsLinear Algebra and its Applications, Vol. 372 | 1 Oct 2003 Cross Ref Indefinite stochastic LQ control with cross term via semidefinite programmingJournal of Applied Mathematics and Computing, Vol. 13, No. 1-2 | 1 Sep 2003 Cross Ref The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXA∗=BLinear Algebra and its Applications, Vol. 370 | 1 Sep 2003 Cross Ref Less conservative time-delay independent LMI conditions for continuous-time polytopic systemsIFAC Proceedings Volumes, Vol. 36, No. 19 | 1 Sep 2003 Cross Ref Estimation of the Asymptotic Stability Region for the Uncertain Variable Structure Systems with Bounded ControllersJournal of Control, Automation and Systems Engineering, Vol. 9, No. 8 | 1 Aug 2003 Cross Ref A matrix equation from an inverse problem of vibration theoryApplied Mathematics-A Journal of Chinese Universities, Vol. 18, No. 1 | 1 Mar 2003 Cross Ref On the uncertain variable structure systems with bounded controllersJournal of the Franklin Institute, Vol. 340, No. 2 | 1 Mar 2003 Cross Ref Properties of the solutions of rational matrix difference equationsComputers & Mathematics with Applications, Vol. 45, No. 6-9 | 1 Mar 2003 Cross Ref Linear Quadratic Control Revisited: A View Through Semidefinite ProgrammingModeling, Control and Optimization of Complex Systems | 1 Jan 2003 Cross Ref The Constrained Solutions of Two Matrix EquationsActa Mathematica Sinica, English Series, Vol. 18, No. 4 | 1 Oct 2002 Cross Ref Several inequalities involving Khatri–Rao products of positive semidefinite matricesLinear Algebra and its Applications, Vol. 354, No. 1-3 | 1 Oct 2002 Cross Ref Variable structure output feedback control design for a class of uncertain dynamic systemsAutomatica, Vol. 38, No. 2 | 1 Feb 2002 Cross Ref Indefinite Stochastic Linear Quadratic Control and Generalized Differential Riccati EquationM. Ait Rami, J. B. Moore, and Xun Yu ZhouSIAM Journal on Control and Optimization, Vol. 40, No. 4 | 26 July 2006AbstractPDF (180 KB)A Method for Judging Generalized Diagonally Dominant MatrixInternational Journal of Computer Mathematics, Vol. 79, No. 7 | 1 Jan 2002 Cross Ref Comments, Conjectures and ConclusionsJournal of Statistical Computation and Simulation, Vol. 72, No. 1 | 1 Jan 2002 Cross Ref Stabilization and H∞ control of symmetric systems: an explicit solutionSystems & Control Letters, Vol. 44, No. 1 | 1 Sep 2001 Cross Ref A primal-dual semi-definite programming approach to linear quadratic controlIEEE Transactions on Automatic Control, Vol. 46, No. 9 | 1 Sep 2001 Cross Ref Index of Hadamard multiplication by positive matrices IILinear Algebra and its Applications, Vol. 332-334 | 1 Aug 2001 Cross Ref Oscillation elimination of tip regulation for a single-link flexible manipulatorInternational Journal of Robust and Nonlinear Control, Vol. 11, No. 3 | 1 January 20
Referência(s)