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Analysis of hybrid systems’ dynamics using the common Lyapunov functions and multiple homomorphisms

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Abstract

Consideration was given to the hybrid systems obeying the nonlinear common differential equations with switched right-hand sides and state jumps (pulses). Conditions for availability of dynamic characteristics like stability, attraction, invariance, and boundedness were formulated in terms of the common Lyapunov functions or multiple homomorphisms.

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Authors and Affiliations

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

    S. N. Vassilyev

  2. Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

    A. A. Kosov

Authors
  1. S. N. Vassilyev
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  2. A. A. Kosov
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Original Russian Text © S.N. Vassilyev, A.A. Kosov, 2011, published in Avtomatika i Telemekhanika, 2011, No. 6, pp. 27–47.

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Vassilyev, S.N., Kosov, A.A. Analysis of hybrid systems’ dynamics using the common Lyapunov functions and multiple homomorphisms. Autom Remote Control 72, 1163–1183 (2011). https://doi.org/10.1134/S000511791106004X

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