Weak exponential stability for time-periodic differential inclusions via first approximation averaging

DOI10.1007/s11228-012-0216-1zbMath1329.34045OpenAlexW2067759116WikidataQ59394072 ScholiaQ59394072MaRDI QIDQ491221

Ricardo Gama, Georgi V. Smirnov

Publication date: 24 August 2015

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-012-0216-1

zbMATH Keywords

differential inclusionsaveraging method

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29)

Related Items (3)

A criterion for the asymptotic stability of a periodic selector-linear differential inclusion ⋮ Stability and optimality of solutions to differential inclusions via averaging method ⋮ On small perturbations of a periodic homogeneous differential inclusion with an asymptotically stable set

Cites Work

• On the asymptotic stability of discontinuous systems analysed via the averaging method
• An averaging theorem for time-periodic degree zero homogeneous differential equations
• On exponential stability of nonlinear time-varying differential equations
• Exponential stability and partial averaging.
• Weak asymptotic stability at first approximation for periodic differential inclusions
• Averaging Results and the Study of Uniform Asymptotic Stability of Homogeneous Differential Equations That Are Not Fast Time-Varying
• Time-varying exponential stabilization of a rigid spacecraft with two control torques
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