HIGH ORDER CONTROLLED STABILITY AND CONTROLLABILITY
1977; Elsevier BV; Linguagem: Inglês
10.1016/b978-0-12-083750-2.50012-6
Autores Tópico(s)Stability and Control of Uncertain Systems
ResumoThis chapter focuses on high order controlled stability and controllability. It presents an assumption where M is an analytic n-dimensional manifold and D = {Xα : α ∈ U} is a collection of analytic tangent vector fields on M. The tangent space of M at p is denoted by TMp, and D(x) = {Xα(x) ∈ TMx: α ∈ U}. A solution of D is an absolutely continuous map φ taking a real interval I into M such that φ(t) = dφ/dt ∈ D(φ(t)) p.p. in I. For any t > 0, the set of points in M attainable at time t by solutions of D, which initiate from p at time 0, is denoted by A(t,p,D). The chapter discusses the concept of locally controllable system. An approach involving a high order Pontriagin maximum principle is also discussed in the chapter.
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