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This paper considers the reliable extended dissipative control for a class of switched systems with time‐varying delay and actuator failure using an event‐triggered transmission mechanism. Under the proposed event‐triggered mechanism, there is a mismatch between subsystems and their corresponding controllers; a merged switching signal is thus introduced to obtain the closed‐loop switched systems. By constructing an appropriate Lyapunov–Krasovskii functional with the merged switching signal, some sufficient criteria are proposed to guarantee the extended dissipativity of the switched systems under asynchronous switching; thus, H∞, passivity, dissipativity, and L2 − L∞ performance of such switched system can be addressed in a unified framework. The reliable controller gains are achieved by solving a set of linear matrix inequalities. Finally, numerical example and comparison results are provided to illustrate the effectiveness and advantages of the proposed method. [ABSTRACT FROM AUTHOR]

The robust exponential stabilization for a class of the uncertain switched neutral nonlinear systems with time‐varying delays based on the sampled‐data control is investigated in this paper. The closed‐loop system with sampled‐data control is modeled as a continuous time system with a time‐varying piecewise continuous control input delay. Considering the relationship between the sampling period and the dwell time of two switching instants, sampling interval with no switching and sampling interval with one switching are discussed, respectively. By Wirtinger‐based inequality, Wirtinger‐based double integral inequality, and free‐weighting matrix technique, some delay‐dependent sufficient conditions are given to guarantee the exponential stability of uncertain switched neutral nonlinear systems under asynchronous switching. In addition, sampled‐data controllers can also be designed by special operations of matrices. Finally, two numerical examples are used to show the effectiveness of the approach proposed in this paper. [ABSTRACT FROM AUTHOR]

This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples. [ABSTRACT FROM AUTHOR]

In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded through the practice of designing the switching signal for finite-time stable and unstable subsystems respectively. Finally, stabilization conditions for switched linear systems based on linear matrix inequalities are presented to guarantee the finite-time stability of the closed-loop system. Numerical examples are put forward attempting to verify the efficiency through different methodologies. [ABSTRACT FROM AUTHOR]

In this paper, we establish finite-region stability (FRS) and finite-region boundedness analysis methods to investigate the transient behavior of discrete two-dimensional Roesser models. First, by building special recursive formulas, a sufficient FRS condition is built via solvable linear matrix inequalities constraints. Next, by designing state feedback controllers, the finite-region stabilization issue is analyzed for the corresponding two-dimensional closed-loop system. Similar to FRS analysis, the finite-region boundedness problem is addressed for Roesser models with exogenous disturbances and corresponding criteria, and linear matrix inequalities conditions are reported. To conclude the paper, we provide numerical examples to confirm the validity of the proposed methods. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]