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RESEARCH PRODUCT
Stabilization of positive switched systems with time-varying delays under asynchronous switching
Mei XiangZhengrong XiangHamid Reza Karimisubject
Asynchronous switchingpositive systemsAsynchronous switching; average dwell time; positive systems; switched systems; time-varying delays; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognitionbusiness.industryComputer scienceControl (management)time-varying delaysComputer Science Applications1707 Computer Vision and Pattern RecognitionRoboticsControl engineeringPositive systemsMechatronicsVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411AutomationComputer Science ApplicationsControl and Systems EngineeringAsynchronous communicationswitched systemsArtificial intelligencebusinessaverage dwell timedescription
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 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-30 | International Journal of Control, Automation and Systems |