Sufficient conditions for global exponential stability of discrete switched time-delay systems with linear fractional perturbations via switching signal design

*Correspondence: [email protected] 1Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, 811, Taiwan, ROC Full list of author information is available at the end of the article Abstract The switching signal design for global exponential stability of discrete switched systems with interval time-varying delay and linear fractional perturbations is considered in this paper. Some LMI stability criteria are proposed to design the switching signal and guarantee the global exponential stability for a discrete switched time-delay system. Nonnegative inequalities are introduced to improve the conservativeness of the proposed results. A procedure is provided to guarantee the stability of a switched system and design the switching signal. Finally, some numerical examples are illustrated to show the main results.