Title :
Computation of piecewise quadratic Lyapunov functions for hybrid systems
Author :
Johansson, Mikael ; Rantzer, Anders
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Lund, Sweden
Abstract :
This paper presents a computational approach to stability analysis of nonlinear and hybrid systems. The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization problem in terms of linear matrix inequalities. Several examples are included to demonstrate the flexibility and power of the approach.
Keywords :
Lyapunov methods; continuous systems; convex programming; discrete systems; linear matrix inequalities; nonlinear control systems; stability; convex optimization problem; hybrid systems; linear matrix inequalities; nonlinear systems; piecewise quadratic Lyapunov functions; stability analysis; Linear matrix inequalities; Lyapunov methods; Mathematical model; Nonlinear systems; Stability criteria; Switches; Hybrid Control; LMI; Nonlinear Control;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
