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

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.

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

“…In this section, the problem of the FTB for the uncertain system (1) with exogenous disturbance and partial finite-time unbounded subsystems is studied. Inspired by the idea in [40,53,59], a class of QASSs for the uncertain system (1) is designed as follows:…”

“…Next, Pashaei and Hashemzadeh [56] solved the problem of FTS and FTB for linear switched delayed systems with finite-time unstable and unbounded subsystems by employing ADT switching. More recently, Mouktonglang and Yimnet [59] studied the FTB of linear uncertain switched positive time-varying delay systems with finite-time unbounded subsystems and exogenous disturbance by using MDADT switching. In addition to continuous-time switched systems, some fruitful results about discrete-time switched systems have been stated as follows.…”

Distributed Fixed-Time Energy Management for Port Microgrid Considering Transmissive Efficiency

“…Finite-time control is a significant theory in which the state of a system can converge in a bounded settling time under the controller [20][21][22][23]. In order to speed up the convergence rate, it is warranted to combine distributed optimization and finite-time control.…”