On absolute stability analysis by polyhedral Lyapunov functions

Authors
Polanski, A
Citation
A. Polanski, On absolute stability analysis by polyhedral Lyapunov functions, AUTOMATICA, 36(4), 2000, pp. 573-578
Citations number
23
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
36
Issue
4
Year of publication
2000
Pages
573 - 578
Database
ISI
SICI code
0005-1098(200004)36:4<573:OASABP>2.0.ZU;2-B
Abstract
This paper addresses the problem of computing a polyhedral Lyapunov functio n (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). (C) 2000 Elsevier Science Ltd. All rights reserved.