Mode-dependent impulsive control of positive switched systems: Stability and L1-gain analysis

Qiang Xi and Xinzhi Liu

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: This paper studies the stability and L1-gain problems for impulsive positive switched systems (IPSS) consisting of both unstable and stable subsystems, and proposes a mode-dependent impulsive control (MDIC) method for the first time. By means of a piecewise linear co-positive Lyapunov function (PLCLF) and using average dwell time (ADT) approach, some sufficient criteria for global exponential stability (GES) and standard L1-gain are established in terms of linear programming (LP), which can be verified conveniently by Matlab. A special impulsive controller is designed to guarantee the positivity and stability of the addressed system. Several numerical examples with simulations are provided to demonstrate the effectiveness of the obtained results.

Keywords: Mode-dependent impulsive control; Impulsive positive switched systems; Average dwell time; Global exponential stability; L1-gain (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s096007792030672x

DOI: 10.1016/j.chaos.2020.110276

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