Convergent piecewise affine systems : analysis and design Part II: discontinuous case

A.V. Pavlov, A.Y. Pogromski, N. Wouw, van de, H. Nijmeijer, J.E. Rooda

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

15 Citations (Scopus)
1 Downloads (Pure)

Abstract

In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.
Original languageEnglish
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain
Pageson-CDROM
DOIs
Publication statusPublished - 2005

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