New approaches to stability analysis for time-varying delay systems |
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| Authors: | Ruimei Zhang Deqiang Zeng Ju H Park Shouming Zhong Yajuan Liu Xia Zhou |
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| Institution: | 1. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Data Recovery Key Laboratory of Sichuan Province, Numerical Simulation Key Laboratory of Sichuan Province, and College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641100, PR China;4. School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, PR China;5. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, PR China |
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| Abstract: | In this paper, two new estimation approaches namely delay-dependent-matrix-based (DDMB) reciprocally convex inequality approach and DDMB estimation approach, are introduced for stability analysis of time-varying delay systems. Different from existing estimation techniques with constant matrices, the estimation approaches are with delay-dependent matrices, which can employ more free matrices and utilize more information of both time delay and its derivative. Based on the estimation approaches, less conservative stability criteria with lower computational complexity are derived in the form of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the advantages of the proposed methods. |
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| Keywords: | Corresponding author |
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