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The paper studies the problem of asymptotically stabilizing a class of switched linear neutral systems, where none of the individual subsystems is stabilizable. A co-design of a set of candidate controllers and a hysteresis-based switching strategy is developed to achieve asymptotic stability of the closed-loop switched neutral systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

In this paper, the problems of stability and stabilization for switched systems with mode-dependent average dwell time (MDADT) switching are revisited and discussed in both continuous-time and discrete-time contexts. By introducing a class of quasi-alternative switching signals, some improved stability conditions of switched systems with MDADT are obtained. In our switching design strategy, slow switching and fast switching are, respectively, used among stable subsystems and unstable subsystems. Then, based on the stability result, stabilization conditions for switched linear systems comprising uncontrollable subsystems are presented to guarantee the underlying system to be exponentially stable. The criteria obtained for the considered switched linear systems are all provided in terms of a set of linear matrix inequalities. To illustrate the advantages of our established results, a numerical example is finally given. [ABSTRACT FROM AUTHOR]

This paper is concerned with the fault detection (FD) problem for a class of linear discrete-time switched systems in finite-frequency domain. The fault detection filters (FDFs) with switching mechanism are utilized to generate residual to detect fault. Different from the existing FD schemes based on the arbitrary switching or average dwell time switching method, a novel scheme is presented, where the states of the FDFs are used to construct not only the residual but also the switching law. This guarantees that the overall switched system is asymptotically stable and with the fault sensitive performance and disturbance attenuation performance in the low-, middle-, and high-frequency domain, respectively. A solution of the considered problem is given via linear matrix inequalities. Finally, a numerical example is presented to show the advantage of the proposed method. [ABSTRACT FROM AUTHOR]

This paper considers the stabilization problem for a class of cascade switched nonlinear systems. Each subsystem of the switched nonlinear system studied consists of a linear part and a nonlinear part, and the linear parts are composed of stabilizable and unstabilizable subsections. The actuator saturation is taken into consideration using the convex hull technique. Through constructing the proper Lyapunov functions, sufficient conditions in terms of LMIs for the solvability of the stabilization problem are presented. A state feedback controller and the dwell-time switching strategy are proposed to guarantee the exponential stability of the resulting closed-loop system. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]