Globally exponential estimates of Markovian jumping systems with mode-dependent delays and parameter uncertainties

摘要

This paper is concerned with the globally exponential estimates of delayed Markovian jumping systems with parameter uncertainties. It is assumed that the time delays are mode-dependent and the parameter uncertainties are norm-bounded. By employing some recently proposed techniques and constructing a suitable stochastic Lyapunov functional, several improved conditions are presented such that the considered system is globally exponential stable in the mean square and the exponential decay rate can be efficiently estimated by solving some coupled linear matrix inequalities. A numerical example is finally provided to demonstrate the advantage of our results over some existing ones.