«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2009. Vol. 1

On stability of a subclass of hybrid systems

Author(s)
S. N. Vassilyev
Abstract

Hybrid systems with switching non linear vector fields of ordinary differential equations (ODE) of subsystems in given instants are considered. The analysis of the dynamical properties of stability and attractivity in those models are reduced to a problem of analysis of analogous dynamics in usual ODE, but with discontinuous solutions. A reduction method with trajectory homomorphism from initial model to auxiliary one is used. Some examples are considered.

Keywords
hybrid systems, switched systems, stability, homomorphism, vector-Lyapunov function
UDC
518.517
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