An Event-Triggered Decentralized Asynchronous Design Scheme for Positive Interconnected Switched Systems With MDMDT Switching

The article focuses on the design of event-triggered decentralized asynchronous (ETDA) control for positive interconnected switched systems (PISSs) subject to a mode-dependent minimum dwell-time (MDMDT) constraint. First, a novel 1-norm-based event-triggered mechanism (ETM) and a decentralized asynchronous control strategy (DACS) are proposed to facilitate the design of an ETDA control framework. Next, a sufficient positivity criterion is presented for PISSs in a closed-loop. Then, by constructing a newfangled discretized linear copositive Lyapunov function (DLCLF) for MDMDT switching, and utilizing the matrix decomposition approach for ETDA controller gains, a feasible mode-dependent ETDA control scheme with a tractable linear programming (LP) approach is presented for PISSs. Further, the provided ETDA control scheme can degenerate into three exceptional cases: event-triggered decentralized synchronous (ETDS) control, time-triggered decentralized asynchronous (TTDA) control, and time-triggered decentralized synchronous (TTDS) control. Finally, comparisons are conducted to exemplify the significance and feasibility of the designed control scheme.