On the Klimushchev-Krasovskii theorem

DOI10.1016/j.automatica.2011.07.003zbMath1228.93082OpenAlexW2027419522MaRDI QIDQ642652

Ichijo Hodaka, Ichiro Jikuya

Publication date: 27 October 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.07.003

zbMATH Keywords

linear systemsingular perturbationasymptotic stabilityinertiatime-invariant systemKlimushchev-Krasovskii theorem

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms
• On the robustness of output feedback control methods to modeling errors
• On the stability bounds of singularly perturbed systems

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