Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay

Baolong Zhu, Jie Ma, Zhiping Zhang, Hui Feng and Shunli Li

International Journal of Systems Science, 2018, vol. 49, issue 14, 2940-2956

Abstract: This paper considers the robust stability and stabilisation of uncertain impulsive positive systems with delay in state. The robust global exponential stability criterion under ranged dwell-time is first established by employing an impulse-time-dependent copositive Lyapunov function. Extensions to the exponential stability of the considered system under constant, arbitrary, maximal and minimal dwell-time are then derived. To positively stabilise the considered system under ranged dwell-time, a method of state-feedback controller design is presented based on the derived stability condition. Several numerical examples illustrate the reduced conservatism and effectiveness of the obtained theoretical results.

Date: 2018
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DOI: 10.1080/00207721.2018.1529254

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