Exponential Stability of Nonlinear Singularly Perturbed Differential Equations

DOI10.1137/040614591zbMath1158.93396OpenAlexW1967861303MaRDI QIDQ3427508

Götz Grammel

Publication date: 20 March 2007

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

Full work available at URL: https://doi.org/10.1137/040614591

zbMATH Keywords

exponential stabilitysingular perturbationsnonlinear differential equations with delays

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15) Singular perturbations of functional-differential equations (34K26)

Related Items (4)

Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses ⋮ Robust sampled-dataH_∞control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals ⋮ Asymptotic stability of singularly perturbed differential equations ⋮ Robustness of exponential stability to singular perturbations and delays

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