The stability analysis of time-varying delayed systems based on new augmented vector method |
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| Authors: | Wei Qian Yanshan Gao Yonggang Chen Junqi Yang |
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| Institution: | 1. School of Electrical Engineering and Automation, Henan Polytechnic University, Henan 454000, China;2. School of Mathematical Sciences, Henan Institute of Science and Technology, Henan 453003, China |
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| Abstract: | This paper focuses on the stability analysis of systems with interval time-varying delay. A new augmented vector containing single and double integral terms is constructed and the corresponding Lyapunov functional with triple integral terms is introduced. In order to improve the estimating accuracy of the derivatives of the constructed Lyapunov functional, single integral inequalities and double integral inequalities via auxiliary functions are employed on the first step, then an extended relaxed integral inequality and reciprocally convex approach are further utilized to narrow the scaling room of the functional derivatives. As a result, some novel delay-dependent stability criteria with less conservatism are derived. Finally, numerical examples are provided to check the effectiveness of the theoretical results and the improvement of the proposed method over the existing works. |
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| Keywords: | Corresponding author |
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