Brief On absolute stability analysis by polyhedral Lyapunov functions

Authors:
Andrzej PolańSki
Affiliations:
Department of Automatic Control, Silesian Technical University ul. Akademicka 16, 44-101 Gliwice, Poland
Venue:
Automatica (Journal of IFAC)
Year:
2000

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Abstract

This paper addresses the problem of computing a polyhedral Lyapunov function (PLF) for a linear differential inclusion (LDI). A numerically efficient algorithm is presented to compute a PLF for an LDI. It is also pointed out that for the case of a polyhedron defined by vertices (rather than by faces) one can state algebraic stability conditions analogous to those given by Molchanov and Pyatnitskiy (1986).