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Convex Stability Analysis of Nonlinear Singular Systems via Linear Matrix Inequalities

2018; Institute of Electrical and Electronics Engineers; Volume: 64; Issue: 4 Linguagem: Inglês

10.1109/tac.2018.2854651

2334-3303

Juan Carlos Arceo, Marcelino Sánchez, Víctor Estrada-Manzo, Miguel Bernal,

Control and Stability of Dynamical Systems

Stability analysis of nonlinear singular systems, arising from differential algebraic equations, is addressed in this paper, exploiting the fact that it belongs to the class of Positvstellensatz problems. By means of the direct Lyapunov method and a variety of convex descriptor forms, sufficient conditions in terms of linear matrix inequalities are developed. Issues concerning proper initialization and simulation are also considered. Illustrative examples are provided.