Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing 210096, P.R. China and Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, P.R. China
Yonggang Chen, Shumin Fei, Kanjian Zhang; Stability analysis for discrete-time switched linear singular systems: average dwell time approach. IMA J Math Control Info 2013; 30 (2): 239-249. doi: 10.1093/imamci/dns027
This paper investigates the stability analysis problem for discrete-time switched linear singular systems, in which the restrictions on singular matrices are removed. By identifying the state jumps at switching instants, and estimating the state norm of each subsystem consistently, an average dwell time approach is developed to solve the exponential stability problem. Numerical examples are given to illustrate the benefits and effectiveness of the obtained result.