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In this article, stability of continuous-time switched linear systems in the singular perturbation form is investigated. We show that the stability of slow and fast switched subsystems is not a sufficient condition for stability of the corresponding two-time scale switched system, under an arbitrary switching law. Thus, LMI conditions to design a state-feedback control law stabilizing continuous-time...
This paper is concerned with the stability for a class of switched uncertain neutral systems. The uncertainty is assumed to be of structured linear fractional from which includes the norm bounded uncertainty as a special case. Based on the property of completeness of systems, by using an improved Lyapunov-Krasovskii functional, a switching rule for the asymptotical stability of this systems is designed...
This paper considers the stability and L2-gain for a class of switched neutral systems. Sufficient conditions for exponential stability criteria and L2-gain are developed for arbitrary switching signal with average dwell time.
The problem of energy-to-peak control for a class of continuous time-varying delay systems with Markovian switching parameters is discussed. In this paper, such control problem requires that the resulted closed-loop system is exponentially stable in mean square sense with given L2-Hinfindisturbance attenuation. The Markovian switching considered here forms a continuous-time discrete-time homogeneous...
Quadratic stability of switched systems consisting of a class of m-discrete subsystems is studied. An interval matrix is constructed to transform the discrete-time switched system into interval system. Then, a sufficient condition is presented in terms of linear matrix inequality for the quadratic stability of discrete-time switched systems under arbitrary switching laws. This condition is much simpler...
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