Convex M-matrices and polytopic dynamic systems

D. M. Stipanovic, D. D. Siljak

Research output: Contribution to journalConference articlepeer-review

Abstract

The purpose of this paper is to derive a number of sufficient conditions for all matrices in a convex polytope to be M-matrices. The conditions involve only vertex matrices of the polytope and can be used to establish robust stability of systems with polytopic uncertainty structures. Applications of the convexity conditions will be made to uncertain linear constant systems and Lotka-Volterra population models. An interesting feature of the analysis is the use of Liapunov functions which depend on systems parameters.

Original languageEnglish (US)
Pages (from-to)4366-4368
Number of pages3
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - Dec 1 1997
Externally publishedYes
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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