This article is cited in 2 papers

Nonlinear Systems

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

M. V. Morozov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: It is proved that the solutions of a periodic homogeneous differential inclusion with an asymptotically stable set obey the exponential upper bound under small perturbations that do not violate its periodicity and homogeneity.

Keywords: periodic homogeneous differential inclusion, asymptotically stable set, small perturbations.

Presented by the member of Editorial Board: A. G. Kushner

Received: 10.04.2018
Revised: 30.10.2018
Accepted: 08.11.2018

DOI: 10.1134/S0005231019050039

 English version: Automation and Remote Control, 2019, 80:5, 834–839

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