Computing Lyapunov functions for strongly asymptotically stable differential inclusions

Titelangaben

Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
Bayreuth , 2010

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Abstract

We present a numerical algorithm for computing Lyapunov functions for a class of strongly asymptotically stable nonlinear differential inclusions which includes switched systems and systems with uncertain parameters. The method relies on techniques from nonsmooth analysis and linear programming and leads to a piecewise affine Lyapunov function. We provide a thorough analysis of the method and present two numerical examples.