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.
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This research is supported by the National Natural Science Foundation of China under Grant No. 60874006 and Natural Science Foundation of Heilongjiang Province for Youth under Grant No. QC2009C99.
This paper was recommended for publication by Editor HONG Yiguang.
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Mu, X., Gao, Y. Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays. J Syst Sci Complex 26, 925–939 (2013). https://doi.org/10.1007/s11424-013-1082-0
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DOI: https://doi.org/10.1007/s11424-013-1082-0