Title :
Homogeneous polynomial Lyapunov functions for piecewise affine systems
Author :
Xu, Jun ; Xie, Lihua
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
This paper addresses the construction of piece-wise homogeneous polynomial Lyapunov functions (PHPLFs) for piecewise affine (PWA) systems. Sufficient conditions for the existence of PHPLFs of a given degree for both continuous-time and discrete-time PWA systems are obtained in terms of linear matrix inequalities (LMIs). The result contains existing results based on piecewise quadratic Lyapunov functions as special cases and provides a less conservative assertion of the stability of PWA systems, which is supported by numerical examples.
Keywords :
Lyapunov methods; continuous time systems; discrete time systems; linear matrix inequalities; piecewise polynomial techniques; continuous-time PWA systems; discrete-time PWA systems; linear matrix inequalities; piecewise affine systems; piecewise homogeneous polynomial Lyapunov functions; piecewise quadratic Lyapunov functions; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Piecewise linear techniques; Polynomials; Power engineering and energy; Stability analysis; Sufficient conditions;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470019
