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Stability of Switched Positive Linear Systems with Actuator Saturation under Mode-dependent Average Dwell Time

Lijie You, Jianyin Fang, and Xiaowu Mu*
International Journal of Control, Automation, and Systems, vol. 18, no. 4, pp.817-823, 2020

Abstract : The stability problem is investigated for switched positive linear systems (SPLS) with unstabilized subsystem and actuator saturation. By using Lyapunov functions method and mode-dependent average dwell time (MDADT) strategy, sufficient conditions of the stability for the considered systems are established. We also give an estimate of the attraction domain. The convex hull represent approach is used to deal with actuator saturation. Finally, two examples are carried out to show the validity of results, which is less conservative than the average dwell time (ADT) switching.

Keyword : Exponential stability, mode-dependent average dwell time, positive system, saturation, switched systems.

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