New results on the stability of discrete-time systems and applications to control problems

DOI10.1006/JMAA.1997.5827zbMath0915.93054OpenAlexW1992031861MaRDI QIDQ1269672

M. Bensoubaya, Abderrahman Iggidr

Publication date: 12 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/37efdc21905504273ff6d24174c93e8d151115c2

zbMATH Keywords

stabilityLyapunov functioncenter manifold theoremnonlinear discrete-time systemscascade systemsLaSalle's invariance principle

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) General systems theory (93A99)

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Cites Work

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• Applications of centre manifold theory
• Further facts about input to state stabilization
• Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
• Some Stability Theorems for Ordinary Difference Equations

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