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On the asymptotic stability of solutions of hybrid multivariable systems

  • Nonlinear Systems
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Abstract

Consideration was given to the hybrid multivariable systems whose dynamics obeys the nonlinear switched differential equations. Conditions for the zero solutions of such systems to be asymptotically stable to any law of switching were established using the comparison method. Examples of applying the results obtained to the stability analysis of hybrid automatic control system and mechanical system with switched force fields were presented.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. Yu. Aleksandrov & A. V. Platonov

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  1. A. Yu. Aleksandrov
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  2. A. V. Platonov
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Correspondence to A. Yu. Aleksandrov.

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Original Russian Text © A.Yu. Aleksandrov, A.V. Platonov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 5, pp. 18–30.

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Aleksandrov, A.Y., Platonov, A.V. On the asymptotic stability of solutions of hybrid multivariable systems. Autom Remote Control 75, 818–828 (2014). https://doi.org/10.1134/S0005117914050026

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