S. N. Vassilyev, A. A. Kosov, “Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms”, Avtomat. i Telemekh., 2011, Issue 6,Pages <nobr>27

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Intellectual Control Systems

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

S. N. Vassilyev^a, A. A. Kosov^b

^a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
^b Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

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.

Presented by the member of Editorial Board: V. I. Gurman

Received: 16.12.2010