Asymptotic Properties of Input-Output Operators Norm Associated with Singularly Perturbed Systems with Multiplicative White Noise

DOI10.1137/S0363012900369447zbMath1027.93036MaRDI QIDQ4537827

Toader Morozan, Vasile Dragan, Peng Shi

Publication date: 23 June 2002

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

stabilityrobust stabilizationRiccati equationsingularly perturbed systeminput-output operatorboundary layer techniques

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Time-scale analysis and singular perturbations in control/observation systems (93C70) Adaptive or robust stabilization (93D21) Operator-theoretic methods (93B28) Stochastic stability in control theory (93E15)

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A novel method for fault detection in singularly perturbed systems via the finite frequency strategy ⋮ Stabilizing composite control for a class of linear systems modeled by singularly perturbed Itô differential equations ⋮ Infinite horizon \(H_{2}/H_{\infty }\) control for discrete-time time-varying Markov jump systems with multiplicative noise ⋮ Robust semiglobally practical stabilization for nonlinear singularly perturbed systems ⋮ Stability of singularly perturbed nonlinear stochastic hybrid systems ⋮ Near-optimal control for multiparameter singularly perturbed stochastic systems ⋮ Near-optimal control for a singularly perturbed linear stochastic singular system with Markovian jumping parameters

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