Stability analysis for linear time-delay systems using new inequality based on the second-order derivative |
| |
| Institution: | 1. Institute of Complexity Science, Qingdao University, Qingdao 266071, China;2. School of Electrical Engineering, University of Johannesburg, Johannesburg, South Africa;1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China;2. School of Science, Hubei University for Nationalities, Enshi 445000, China;3. Department of Mathematics, Southeast University, Nanjing 210096, China;4. School of Mathematics and Statistics, GuiZhou University of Finance and Economics, Guiyang 550025, China;1. Department of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;2. Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China;1. School of Electrical Engineering and Automation, Xuzhou Normal University, Xuzhou 221116, PR China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;3. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, PR China;4. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;1. Center for Global Converging Humanities, Kyung Hee University, 1732 Deogyeong-daero, Giheung-gu, Yongin 17104, Republic of Korea;2. School of Electrical Engineering, Chungbuk National University, 1 Chungdae-ro, Seowon-gu, Cheongju 28644, Republic of Korea;3. Electronics and Telecommunications Research Institute, 176-11 Cheomdan Gwagi-ro, Buk-gu, Gwangju 61012, Republic of Korea |
| |
| Abstract: | This paper studies the stability problem of linear time-varying delay system. Firstly, a double integral inequality based on the second-order derivative is proposed in this paper. Secondly, novel Lyapunov–Krasovskii functional consisting of integral terms based on the second-order derivative is constructed to enhance the feasible region of delay-dependent stability. Based on the two aspects, new delay-dependent stability criteria which guarantee the asymptotic stability of linear systems with time-varying delay are given in the form of linear matrix inequality (LMI). Finally, several numerical examples are given to show the advantages of the proposed methods. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
