On small perturbations of a periodic homogeneous differential inclusion with an asymptotically stable set

DOI10.1134/S0005117919050035zbMath1420.93020OpenAlexW2946214793WikidataQ127872821 ScholiaQ127872821MaRDI QIDQ2320275

M. V. Morozov

Publication date: 22 August 2019

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117919050035

zbMATH Keywords

small perturbationsasymptotically stable setperiodic homogeneous differential inclusion

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Weak exponential stability for time-periodic differential inclusions via first approximation averaging
• Theory of control systems described by differential inclusions
• Algorithms for robust stability analysis of linear time-varying control systems with periodic constraints
• Sufficient conditions for robust stability of linear nonstationary control systems with periodic interval constraints
• Absolute stability of nonlinear nonstationary control systems with periodic linear sections
• Lyapunov functions for nonlinear nonstationary discrete control systems with a periodic linear part
• Weak asymptotic stability at first approximation for periodic differential inclusions
• On generalized dynamical systems defined by contingent equations
• The Existence of Periodic Solutions to Nonautonomous Differential Inclusions
• Properties of solutions of periodic differential inclusions

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