Title :
On the computation of piecewise quadratic Lyapunov functions
Author :
Johansson, Mikael ; Rantzer, Anders
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
A new parametrization of piecewise quadratic functions is presented, aimed for convex optimization of Lyapunov functions. The parametrization ensures continuity of the functions, but is also flexible enough to approximate any continuous function with arbitrary accuracy. A converse Lyapunov theorem is given, stating that all exponentially stable systems of a certain class will in principle admit a piecewise quadratic Lyapunov function, to be found by the given optimization procedure
Keywords :
Lyapunov methods; nonlinear systems; optimisation; piecewise-linear techniques; stability; state-space methods; convex optimization; exponentially stable systems; nonlinear systems; piecewise quadratic Lyapunov functions; stability; state space; Control system synthesis; Ear; Level set; Linear systems; Lyapunov method; Nonlinear systems; Performance analysis; Piecewise linear approximation; Stability analysis; State-space methods;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652393
