This paper presents the exponential stability of output‐based event‐triggered control for switched singular systems. An event‐triggered mechanism is introduced based on measure output, by employing the Lyapunov functional method and average dwell time approach, some sufficient conditions for exponential stability of the switched singular closed‐loop systems are derived. Furthermore, dynamic output feedback controller parameters are obtained. Lastly, a numerical example is given to illustrate the validity of the proposed solutions.

The finite-time event-triggered H ∞ filtering of the continuous-time switched time-varying delay linear (CSTDL) systems is addressed in the paper. Firstly, by the merging switching signal technique, the CSTDL system and its filtering switched system are established as a filtering error system (FES) with augmented switching signal. And asynchronous switching of switched system modes and filter modes occurs since a mode-dependent event-triggered transmission scheme (METS) which determines the system output and switching signal is addressed. Secondly, the sufficient conditions are given to make certain that the FES is finite-time bounded (FTB) and has a specified H ∞ performance by using the average dwell time (ADT) and multi-Lyapunov functional method. Furthermore, a finite-time H ∞ filter is composed based on the inequalities of the parameters of the METS. Ultimately, a numerical example is inspired to manifest the availability of the effects in the study. KEYWORDScontinuous-time switched system, event-trigger, finite-time bounded, H ∞ filtering, time-varying delay

The stability analysis and L 2 -gain for a class of switched neutral systems with all unstable subsystems are investigated in this paper. By constructing the discretized multiple Lyapunov-Krasovskii functional and resorting to the time-driven switching signals, sufficient conditions for exponential stability and weighted L 2 -gain are developed for a class of switched neutral systems, where all subsystems are unstable. It should be pointed out that all the Lyapunov-Krasovskii functional energies are allowed to increase during the running intervals of the active subsystems. Furthermore, all the conditions are formulated in forms of a set of linear matrix inequalities which can be easily solved by using the recently developed interior point method. Finally, two numerical examples are provided to show the effectiveness of the proposed approach.

The input‐output finite‐time stability and stabilization of a class of fractional‐order switched singular continuous‐time systems with order 0<α<1 are studied in this paper. First, based on the average dwell time switching technique, by constructing multiple Lyapunov functions, the sufficient conditions of input‐output finite‐time stability for the considered systems are derived in the form of linear matrix inequalities (LMIs). Second, a suitable LMI‐based state feedback controller is designed. Finally, an illustrative example is presented to show the effectiveness of the proposed technique.

This article investigates the stability issue for a class of switched nonlinear systems whose control inputs include time delay and sampling. It is assumed that a stabilizing controller is predesigned for the nominal system such that it is stable under a certain switching signal. However, in the presence of input delay and sampling, the system may not be stable under the same stability criteria. Besides, the switching signals are discussed in two cases, that is, the switching signal of the system is transmitted to the controller in real time and only the sampled information of the switching signal is available to the controller at each sampling instant. For the latter, the asynchronous motions between the subsystems and the candidate controllers are caused and the closed‐loop system is rewritten as sampled switched nonlinear delay system with an augmented switching signal. By constructing sampling interval‐dependent Lyapunov–Krasovskii functional and using the theory of the asynchronous switched delay system, we establish the stability conditions on the switching signal which depends on the size of the delay, the upper bound of the sampling interval, and the dwell time. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.