Suboptimal stabilization of linear systems with several time scales

DOI10.1080/00207178208932879zbMath0487.93041OpenAlexW2159844933MaRDI QIDQ3948962

Vasile Dragan, Aristide Halanay

Publication date: 1982

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178208932879

zbMATH Keywords

quadratic costreduced problemboundary-layer problemsuboptimal stabilizationLur'e-Yakubovic-Popov equationsseveral time scales

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Popov-type stability of feedback systems (93D10) Linear systems in control theory (93C05) Singular perturbations of ordinary differential equations (34D15) Asymptotic properties of solutions to ordinary differential equations (34D05) Control/observation systems governed by ordinary differential equations (93C15) Stability theory for ordinary differential equations (34D99)

Related Items

Observers with several time scales for systems with several time scales, Singular perturbation method for initial value problems in two-parameter discrete control systems, Singularly perturbed problems with multi-tempo fast variables, Singular perturbation method for boundary value problems in two-parameter discrete control systems, On the linear quadratic optimal control for systems described by singularly perturbed Itô differential equations with two fast time scales, Singular perturbations and time-scale methods in control theory: Survey 1976-1983

Cites Work

• Unnamed Item
• Singular perturbations and order reduction in control theory - an overview
• Stabilization of singularly perturbed linear time-invariant systems using low-order observers
• Observer Stabilization of Singularly Perturbed Systems