Abstract:

The exponential stability in mean square and stabiliza-
tion problems for Ito? stochastic switched systems with multiple
time-delays are investigated.The system possesses the norm-
bounded uncertainties and Markovian jumping parameters.By
using an effective descriptor model transformation of the system
and applying It?o’s differential formula and Moon’s inequality for
bounding cross terms,a new delay-dependent sufficient condi-
tion is derived in terms of linear matrix inequalities,and its states
feedback controller is designed.Numerical examples are given to
illustrate the efficiency and less conservation of the results.