Stabilization of positive switched systems with time-varying delays under asynchronous switching
Journal article, Peer reviewed
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Original versionXiang, M., Xiang, Z., & Karimi, H. R. (2014). Stabilization of positive switched systems with time-varying delays under asynchronous switching. International Journal of Control, Automation and Systems, 12(5), 939-947. doi: 10.1007/s12555-013-0486-x 10.1007/s12555-013-0486-x
This paper investigates the state feedback stabilization problem for a class of positive switched systems with time-varying delays under asynchronous switching in the frameworks of continuous-time and discrete-time dynamics. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. By constructing an appropriate co-positive type Lyapunov-Krasovskii functional and further allowing the functional to increase during the running time of active subsystems, sufficient conditions are provided to guarantee the exponential stability of the resulting closed-loop systems, and the corresponding controller gain matrices and admissible switching signals are presented. Finally, two illustrative examples are given to show the effectiveness of the proposed methods.
Published version of an article in the journal: International Journal of Control, Automation and Systems. Also available from the publisher at: http://dx.doi.org/10.1007/s12555-013-0486-x