Robust stability criteria for uncertain systems with interval time-varying delay based on multi-integral functional approach |
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Authors: | Wei Qian Manman Yuan Lei Wang 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 Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China;3. School of Mathematical Sciences, Henan Institute of Science and Technology, Henan 453003, China |
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Abstract: | This paper is concerned with the robust stability analysis for uncertain systems with interval time-varying delay. In order to make full use of the delay information, a novel Lyapunov–Krasovskii functional (LKF) containing single, double, triple and quadruple integral terms is introduced, and a triple-integral state variable is also used. Then, by using the Wirtinger-based single and double integral inequality, introducing some positive scalars, the derivative of the constructed LKF is estimated more accurately. As a result, some stability criteria are derived, which have less conservatism and decision variables. Numerical examples are also given to show the effectiveness of the proposed method. |
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Keywords: | Corresponding author |
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