On analysis of discrete singularly perturbed nonlinear systems: Application to the study of stability properties

DOI10.1016/S0016-0032(96)00076-2zbMath0870.93029MaRDI QIDQ677499

Abdellah El Moudni, Rachid Bouyekhf

Publication date: 28 May 1997

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

singular perturbationstability analysisnonlinear systemsdiscrete-timeLyapunov function approachTikhonov's theorem

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

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Human behavioral crowds review, critical analysis and research perspectives ⋮ Stability constraints of active magnetic bearing control systems ⋮ Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems ⋮ A numerical method for the approximation of stable and unstable manifolds of microscopic simulators

Cites Work

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• Stabilization bound of discrete two-time-scale systems
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• Reduced order modelling of two-time-scale discrete non-linear systems
• Quadratic-type Lyapunov functions for singularly perturbed systems
• Uniform asymptotic stability of non-linear singularly perturbed general and large-scale systems
• Robust stability of singularly perturbed systems
• On stability of discrete composite systems
• Stability bounds of singularity perturbed systems
• On the stability bounds of singularly perturbed systems

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