Asymptotic stability of nonlinear singularly perturbed systems using higher order corrections

DOI10.1016/0005-1098(85)90045-7zbMath0617.93045OpenAlexW2038174587MaRDI QIDQ5903375

Khashayar Khorasani, M. A. Pai

Publication date: 1985

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(85)90045-7

zbMATH Keywords

stability criteriaLyapunov functionslow order models

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

An optimal feedback regulation of nonlinear singularly perturbed systems via slow manifold approach

Cites Work

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• Quadratic-type Lyapunov functions for singularly perturbed systems
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• Uniform asymptotic stability of non-linear singularly perturbed general and large-scale systems
• Stability of large-scale nonlinear systems--Quadratic-order theory of composite-system method using M-matrices
• Singular Perturbations on the Infinite Interval

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