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Stability of equilibria of discrete-time systems in terms of invariant sets

Stability of equilibria of discrete-time systems in terms of invariant sets We suggest a new approach to the verification of the stability (or asymptotic stability) of the equilibria of time-invariant discrete-time systems based on stability and asymptotic stability criteria stated in terms of invariant sets. A set-theoretic method for the verification of the conditions in these criteria is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Stability of equilibria of discrete-time systems in terms of invariant sets

Kanatnikov, A.
Differential Equations , Volume 53 (11) – Dec 22, 2017
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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266117110027
Publisher site
See Article on Publisher Site

Abstract

We suggest a new approach to the verification of the stability (or asymptotic stability) of the equilibria of time-invariant discrete-time systems based on stability and asymptotic stability criteria stated in terms of invariant sets. A set-theoretic method for the verification of the conditions in these criteria is presented.

Journal

Differential Equations – Springer Journals

Published: Dec 22, 2017

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