Stability analysis of state-dependent impulsive systems via a new two-sided looped functional

Mingchen Huan and Chuandong Li

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: In this paper, the asymptotic stability of state-dependent impulsive systems is addressed by virtue of looped-functional approach. Firstly, based on B-equivalence method, a fixed-time impulsive comparison system is derived, which is B-equivalent with the original state-dependent impulsive system. Then the asymptotic stability criteria of state-dependent impulsive system are obtained by employing a new two-sided looped functional to analyze the comparison system with fixed-time impulses. The theoretical results are applied to Takagi-Sugeno (T-S) fuzzy impulsive control. The effectiveness of the proposed results is verified by two numerical examples.

Keywords: Asymptotic stability; State-dependent impulsive systems; T-S fuzzy model; B-equivalence method; Looped-functional approach, (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011127

DOI: 10.1016/j.chaos.2021.111758

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