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

Advances in Difference Equations

Long-Yeu Chung²  Jenq-Der Chen³  Ker-Wei Yu⁴  Chang-Hua Lien⁴ 

[1] Science, Tainan, ROC;Department of Applied Informatics and Multimedia, Chia Nan University of Pharmacy &Department of Electronic Engineering, National Quemoy University, Kinmen, ROC;Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, ROC

关键词: switching signal;    discrete switched system;    interval time-varying delay;    nonnegative inequality;    linear fractional perturbations;   

DOI  :  10.1186/1687-1847-2013-39

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY