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

  • Authors:

  • S. N. Vassilyev;A. A. Kosov

  • Affiliations:

  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2011

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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.