A sufficient condition for the uniform exponential stability of time-varying systems with noise.

DOI10.1016/j.na.2003.10.017zbMath1054.34083OpenAlexW1973142940MaRDI QIDQ1428422

I. Maizurna, Götz Grammel

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.017

zbMATH Keywords

differential inclusionsuniform exponential stabilityaveragingnonautonomous systemssingularly perturbed differential systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Theoretical approximation of solutions to ordinary differential equations (34A45) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Singular perturbations of ordinary differential equations (34D15) Control/observation systems governed by ordinary differential equations (93C15) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Averaging method in problems of control over periodic systems ⋮ Robustness of exponential stability to singular perturbations and delays ⋮ Stability and optimality of solutions to differential inclusions via averaging method

Cites Work

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• Exponential stability via the averaged system
• Semi-global practical asymptotic stability and averaging
• Suboptimization of Singularly Perturbed Control Systems
• Stability in the presence of singular perturbations
• Averaging methods in nonlinear dynamical systems

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