Analysis of Stability and Robust Stabilization for Impulsive Switched Stochastic Systems

Many practical systems in physics, biology, engineering, and information science exhibit impulsive dyna- mical behaviors due to abrupt changes at certain instants during the dynamical processes. In this paper, problems of stability analysis and robust stabilization are investigated for switched stochastic systems which exist impulses at the switching instants. Multible Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system with arbitrary switching law. The conditions are in linear matrix inequality form and can be used to solve the problems of stabilization and robust stabilization.