caa a22 4500 606206264 CHVBK 20210128101010.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00034-014-9910-6 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9910-6 Stability and $$l_{1}$$ l 1 -Gain Analysis for Switched Delay Positive Systems with Stable and Unstable Subsystems [Elektronische Daten] [Ruiqin Shi, Xuemin Tian, Xudong Zhao, Xiaolong Zheng] In this paper, we investigate the problems of stability and $$l_{1}$$ l 1 -gain performance analysis for discrete-time switched delay positive systems with stable and unstable subsystems. First, using a class of multiple copositive Lyapunov-Krasovskii function approach, sufficient stability conditions are proposed for the considered system with average dwell time switching. Then, based on the stability results, sufficient conditions that guarantee the system to have $$l_{1}$$ l 1 -gain performance are developed. All the proposed conditions can be solved by LMI toolbox. Finally, we take an example to verify the effectiveness of the results. Springer Science+Business Media New York, 2014 Average dwell time nationallicence $$l_{1}$$ l 1 -Gain performance nationallicence Switched positive linear systems nationallicence Unstable subsystems nationallicence Shi Ruiqin College of Information and Control Engineering, China University of Petroleum, 266555, Qingdao, People's Republic of China aut Tian Xuemin College of Information and Control Engineering, China University of Petroleum, 266555, Qingdao, People's Republic of China aut Zhao Xudong College of Engineering, Bohai University, 121013, Jinzhou, People's Republic of China aut Zheng Xiaolong College of Engineering, Bohai University, 121013, Jinzhou, People's Republic of China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/5(2015-05-01), 1683-1696 0278-081X 34:5<1683 2015 34 34 https://doi.org/10.1007/s00034-014-9910-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9910-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shi Ruiqin College of Information and Control Engineering, China University of Petroleum, 266555, Qingdao, People's Republic of China aut NATIONALLICENCE 700 1- Tian Xuemin College of Information and Control Engineering, China University of Petroleum, 266555, Qingdao, People's Republic of China aut NATIONALLICENCE 700 1- Zhao Xudong College of Engineering, Bohai University, 121013, Jinzhou, People's Republic of China aut NATIONALLICENCE 700 1- Zheng Xiaolong College of Engineering, Bohai University, 121013, Jinzhou, People's Republic of China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/5(2015-05-01), 1683-1696 0278-081X 34:5<1683 2015 34 34