Hierarchy of stability criterion for time-delay systems based on multiple integral approach

Zhanshan Wang, Sanbo Ding and Huaguang Zhang

Applied Mathematics and Computation, 2017, vol. 314, issue C, 422-428

Abstract: Taking a class of time-delay systems as research object, this brief aims at developing a theoretical support on the hierarchy of stability criterion which is derived by the multiple integral approach and free-weighting matrix technique. The hierarchy implies that the conservatism of stability criterion can be reduced by increasing the ply of integral terms in Lyapunov–Krasovskii functional (LKF). Together with three numerical experiments, the hierarchy of stability criterion is further shown.

Keywords: Hierarchy of stability criterion; Multiple integral approach; Time-delay systems; Free-weighting matrix (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:422-428

DOI: 10.1016/j.amc.2017.07.016

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