access icon free Stability of switched positive linear time-delay systems

© The Institution of Engineering and Technology
Received 12/04/2018, Accepted 01/11/2018, Revised 23/07/2018, Published 02/11/2018

In this study, the authors analyse the stability of switched positive linear time-delay systems. By developing a novel multiple discontinuous co-positive Lyapunov–Krasovskii functional approach, the stability conditions are established for switched positive time delay systems by a linear programming approach under mode-dependent average dwell time switching. Moreover, under average dwell time switching, the corresponding stability conditions are also proposed. It is shown that their results can obtain smaller lower bounds on dwell time. Finally, simulation results are given to show the effectiveness of their methods.

Inspec keywords: linear programming; time-varying systems; Lyapunov methods; stability; delays; delay systems; linear systems

Other keywords: stability conditions; switched positive linear time-delay systems; mode-dependent average dwell time; linear programming approach; co-positive Lyapunov–Krasovskii functional approach

Subjects: Stability in control theory; Distributed parameter control systems; Time-varying control systems; Linear control systems

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