Exponential stability of discrete-time switched linear positive systems with time-delay
نویسندگان
چکیده
This paper addresses the exponential stability problem for a class of discrete-time switched linear positive systems (DSLPSs) with time-delay. Firstly, an exponential stability criterion for a non-switched delay positive system is proposed. Then, by constructing a suitable co-positive type Lyapunov–Krasovskii functional, an exponential stability criterion for switched delay positive systems is derived via the average dwell time approach, and a stability criterion for switched positive systems with multiple delays is stated and its proof is sketched. Finally, a numerical example is given to illustrate the obtained results. 2013 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 230 شماره
صفحات -
تاریخ انتشار 2014