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New insights on stability of sampled-data systems with time-delay

Hong-Bing Zeng, Zheng-Liang Zhai, Yong He, Kok-Lay Teo and Wei Wang

Applied Mathematics and Computation, 2020, vol. 374, issue C

Abstract: This paper analyses the stability of sampled-data systems with time-delay. By employing a two-sided looped-functional approach, some improved conditions are derived to guarantee the stability of the system under consideration. Then, based the conditions, some intrinsic relationships between sampled-data period and time delay are obtained. From the illustrative example being solved by the proposed approach, it is observed that the results obtained are significantly better than those obtained by existing methods. More importantly, from the simulation being carried out, it is discovered that, contrary to the findings in previous studies, time-delays in a system may enlarge the interval of sampled-data periods and accelerate the rate of convergence of the system states, rather than deteriorate the system performance.

Keywords: Stability; Sampled-data control; Time-delay; Looped-functional (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300102

DOI: 10.1016/j.amc.2020.125041

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