Weak asymptotic stability at first approximation for periodic differential inclusions

DOI10.1007/BF01210619zbMath0841.34053OpenAlexW1982478723MaRDI QIDQ1902873

Georgi V. Smirnov

Publication date: 12 June 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210619

zbMATH Keywords

differential inclusionsfirst approximationset-valued analysisweak asymptotic stabilitygeneralized control systemsdiscrete-time inclusionsnon-autonomous periodic systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Higher-order spectral analysis and weak asymptotic stability of convex processes ⋮ A criterion for the asymptotic stability of a periodic selector-linear differential inclusion ⋮ Weak exponential stability for time-periodic differential inclusions via first approximation averaging ⋮ Almost Periodic Dynamics of a Class of Delayed Neural Networks with Discontinuous Activations ⋮ On small perturbations of a periodic homogeneous differential inclusion with an asymptotically stable set

Cites Work

• Weak asymptotic stability of differential inclusions. II
• Stability in general control systems
• Controllability of Convex Processes
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