Stability of singularly perturbed functional-differential systems: spectrum analysis and LMI approaches

DOI10.1093/IMAMCI/DNR027zbMath1261.93062OpenAlexW1991753479MaRDI QIDQ5390187

Eh. M. Fridman, Valery Y. Glizer

Publication date: 27 April 2012

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7dae5fe163efeb527686c2efcb0d09aa02ba3417

zbMATH Keywords

singular perturbationexponential stabilitylinear matrix inequalityspectrum analysisfunctional-differential system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalue problems (93B60) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20)

Related Items (7)

On the Stability of Three-Time-Scale Linear Time-Invariant Singularly Perturbed Systems with State Delay ⋮ A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays ⋮ \(H_\infty\) control of Markovian jump linear singularly perturbed systems ⋮ Stability bound analysis and synthesis for singularly perturbed systems with time-varying delay ⋮ Sampled-data H_∞ filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements ⋮ Uniform stabilizability of parameter-dependent systems with state and control delays by smooth-gain controls ⋮ Stability and stabilization of one class of three time-scale systems with delays

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