An improved result for the finite-time stability of the singular system with time delay |
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Affiliation: | 1. School of Science, Chongqing University of Technology, Chongqing 400054, PR China;2. School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, PR China;3. School of Science, Hunan Institute of Technology, Hengyang 421002, PR China;1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong, 266520, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong, 252059, China;3. School of Automation, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, 210044, China;1. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China;1. Collegee of Science, Hebei North University, Zhangjiakou, 075000, PR China;2. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China |
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Abstract: | This paper pays attention to the finite-time stability problem for the singular system with time delay. Some improved inequalities are presented and by employing these inequalities along with the Lyapunov-Krasovskii functional method, an improved sufficient condition which ensures that the investigated system is regular, impulse-free and finite-time stable is derived. Finally, a numerical example is provided to demonstrate the effectiveness and superiority of the proposed approach. |
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