Stability of moving invariant sets and uncertain dynamic systems on time scales
type: Item
instance of: scholarly article
title: Stability of moving invariant sets and uncertain dynamic systems on time scales
zbMATH Open document ID: 0933.93058
DOI: 10.1016/S0898-1221(98)80034-5
publication date: 2000-01-20T00:00:00Z
review text: Based on a unified approach to continuous and discrete dynamic systems (the so-called theory of dynamic systems on time scales), a class of uncertain dynamic systems is studied with respect to stability of moving invariant sets. A sufficient condition is obtained in terms of Lyapunov functions. The obtained result is applied to control an uncertain dynamic system on time scales and to obtain the desired stability behavior of moving invariant sets.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C41
zbMATH DE Number: 1391449
zbMATH Keywords: uncertain dynamic systems
zbMATH Keywords: stability
zbMATH Keywords: system on time scales
zbMATH Keywords: moving invariant sets
author: V. Lakshmikantham
author: Seenith Sivasundaram
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
cites work: Q3975393
cites work: Q3820483
cites work: One approach to the control of uncertain dynamical systems
cites work: Q3198160
cites work: Q5569338
cites work: Q4397695
cites work: Stability of conditionally invariant sets and controlled uncertain dynamic systems on time scales
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391449