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.
fDate :
4/1/1998 12:00:00 AM
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. The relation to frequency domain methods such as the circle and Popov criteria is explained. Several examples are included to demonstrate the flexibility and power of the approach
Keywords :
Lyapunov methods; Popov criterion; matrix algebra; nonlinear systems; optimisation; stability; Popov criteria; circle criteria; convex optimization; frequency domain; hybrid systems; linear matrix inequality; nonlinear and hybrid systems; piecewise linear systems; piecewise quadratic Lyapunov functions; stability analysis; Computational modeling; Control system synthesis; Frequency domain analysis; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Performance analysis; Piecewise linear techniques; Stability analysis; System identification;
Journal_Title :
Automatic Control, IEEE Transactions on
