Asymptotic stabilisation for a class of feedforward input-delay systems with ratios of odd integers |
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Authors: | Jian Wu Qiguang Miao |
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Affiliation: | 1. Department of Mathematics , Xidian University , Xi'an 710071 , China;2. Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China , Xidian University , Xi'an 710071 , China;3. School of Computer Science , Xidian University , Xi'an 710071 , China |
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Abstract: | This article addresses the stabilisation problem by state-feedback for a class of feedforward input-delay nonlinear systems with ratios of odd integer powers. The designed controller achieves the global asymptotic stability. Based on the appropriate state transformation of time-delay systems and the Lyapunov method, the problem of controller design can be converted into the problem of finding a parameter which can be obtained by appraising the nonlinear terms of the systems. Finally, three simulation examples are given to illustrate the effectiveness of the control algorithm proposed in this article. |
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Keywords: | nonlinear time-delay systems feedforward systems state-feedback stabilisation Lyapunov method |
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