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Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays |
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| Authors: | Xiaowu Mu Yang Gao |
| Affiliation: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450001, China 2. Graduate School of Beijing University, Beijing, 100049, China 3. Department of Mathematics, Daqing Normal University, Daqing, 163712, China 4. Graduate School of the Harbin Institute of Technology, Harbin, 150001, China |
| Abstract: | In this paper, global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems (PWA) with time delays are considered. Both feedback with time delays and feedback without time delays are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are adopted. The theorems for global input-to-state stabilization with quantized feedback of discrete PWA systems with time delays are shown. |
| Keywords: | Discrete systems input-to-state stability piecewise affine systems quantized feedback stabilization. |
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