Improved reachable set estimation of discrete‐time systems with time‐varying delay |
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| Authors: | Zhiguang Feng Wei Xing Zheng |
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| Affiliation: | 1. College of Automation, Harbin Engineering University, Harbin, China;2. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW, Australia |
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| Abstract: | This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. |
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| Keywords: | discrete‐time systems reachable set estimation time‐delay systems |
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