Journal
CHAOS SOLITONS & FRACTALS
Volume 140, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110276
Keywords
Mode-dependent impulsive control; Impulsive positive switched systems; Average dwell time; Global exponential stability; L-1-gain
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Funding
- National Natural Science Foundation of China [11601269, 61973189]
- Natural Science Foundation of Shandong Province [ZR2017MA048]
- NSERC Canada
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This paper studies the stability and L-1-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 L-1-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. (c) 2020 Elsevier Ltd. All rights reserved.
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