A dual comparison principle for the analysis and design of discrete-time dynamical systems

N. Athanasopoulos, G. Bitsoris

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

3 Citations (Scopus)

Abstract

In this article, two new comparison principles for studying positive invariance and stability of linear and nonlinear discrete-time systems are presented. First, a general comparison principle enabling one to determine necessary and sufficient conditions of positive invariance of sets described by their "border surfaces" is developed. Then, a dual comparison principle describing the dynamics of the "vertices" of these sets is established. Both results can be used for the stability analysis and the control design of nonlinear systems.
Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC
Pages6437-6442
DOIs
Publication statusPublished - 2011

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