Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance

Thanasak Mouktonglang and Suriyon Yimnet
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Thanasak Mouktonglang: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Suriyon Yimnet: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Mathematics, 2021, vol. 10, issue 1, 1-16

Abstract: The problem of finite-time boundedness for a class of linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance is addressed. This characteristic research is that the studied systems include the finite-time bounded subsystems and finite-time unbounded subsystems. Both a slow mode-dependent average dwell time and a fast mode-dependent average dwell time switching techniques are utilized reasonably. And by applying a copositive Lyapunov-Krasovskii functional, novel delay-dependent sufficient criteria are derived to guarantee such systems to be finite-time bounded concerning the given parameters and designed switching signal. Furthermore, new finite-time boundedness criteria of the systems without interval uncertainties are also obtained. Finally, the efficiency of the theoretical results is presented in two illustrative examples.

Keywords: finite-time boundedness; interval uncertainties; switched positive systems; time-varying delay; exogenous disturbance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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