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Stability analysis of the zero solution of a relay system of ordinary differential equations with two relays

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Abstract

We consider a relay system of ordinary differential equations whose right-hand sides are sums of linear functions and two discontinuous functions. We analyze the stability of the zero solution of a relay system of this form for the case in which the system parameters satisfy some equality-type constraints.

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Authors and Affiliations

  1. Parochial School, Alekseevsky Stavropegic Nunnery, Moscow, 107140, Russia

    A. A. Losev

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  1. A. A. Losev
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Correspondence to A. A. Losev.

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To the eternal memory of my dear teacher Dmitrii Viktorovich Anosov

Original Russian Text © A.A. Losev, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 8, pp. 1033–1049.

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Losev, A.A. Stability analysis of the zero solution of a relay system of ordinary differential equations with two relays. Diff Equat 53, 1005–1020 (2017). https://doi.org/10.1134/S0012266117080055

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  • DOI: https://doi.org/10.1134/S0012266117080055

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