Uniform asymptotic stability of linear time-varying singularly perturbed systems

DOI10.1016/0016-0032(78)90121-7zbMath0386.93039OpenAlexW2170799231WikidataQ127309802 ScholiaQ127309802MaRDI QIDQ1250191

S. H. Javid

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0016-0032(78)90121-7

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Singular perturbations of ordinary differential equations (34D15) Asymptotic properties of solutions to ordinary differential equations (34D05) Model systems in control theory (93C99)

Related Items

Dichotomies for systems with discontinuous coefficients ⋮ New stability/performance results for singularly perturbed systems ⋮ Reduced-order feedback control of distributed parameter systems via singular perturbation methods ⋮ Singularly perturbed implicit control law for linear time varying SISO systems ⋮ Stability of distributed parameter systems with finite-dimensional controller-compensators using singular perturbations ⋮ Uniform asymptotic stability of non-linear singularly perturbed general and large-scale systems ⋮ Robustness of absolute stability† ⋮ Singular perturbations and time-scale methods in control theory: Survey 1976-1983 ⋮ A new parameter estimate in singular perturbations ⋮ Frozen time methods for conditionally stable problems in singular perturbation theory

Cites Work

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• An upper bound for the singular parameter in a stable, singularly perturbed system
• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms
• Linear filtering of singularly perturbed systems
• Properties of solutions of ordinary differential equations with small parameters