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The study is concerned with the filtering problem of discrete time positive switched delay systems under an improved delay-dependent persistent dwell time (PDT) switching, which includes delay-independent PDT switching as a special case. Under delay-dependent PDT switching, a pair of state bounding positive filters is designed such that the output of positive switched delay systems can be estimated at all times, and the effect of delay on PDT switching and the l1 performance is also discussed. Finally, a numerical example is presented to demonstrate the effectiveness of the developed results. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of weighted H∞ filtering for a class of switched linear systems with two additive time-varying delays, which represent a general class of switched time-delay systems with strong practical background. Combining average dwell time (ADT) technique with piecewise Lyapunov functionals, sufficient conditions are established to guarantee the exponential stability and weighted H∞ performance for the filtering error systems. The parameters of the designed switched filters are obtained by solving linear matrix inequalities (LMIs). A modification of Jensen integral inequality is exploited to derive results with less theoretical conservatism and computational complexity. Finally, two examples are given to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

A distributed dynamic output feedback control is designed by Scardovi and Sepulchre for the synchronisation of a network of identical linear systems, known as agents in literature. The design is based on some mild conditions allowing switching topology. However, it assumes that there is no time delay in signal transfer between the neighbouring agents. In this study, the authors extend their work to include known time delay in communications. Furthermore, the authors' design has some special features: (i) the delay can be arbitrary and only need to be uniformly bounded by a constant; (ii) the conditions that time delay should be the same and sufficiently small in some literature are not required here; and (iii) no local buffer is required to store past data because of time-delay effect. [ABSTRACT FROM AUTHOR]

This paper is concerned with the design of positive observers for switched positive linear systems with time-varying delays. Attention is focused on designing the positive observers such that the error switched systems are exponentially stable. Based on the average dwell time approach, sufficient conditions, which ensure the estimated error exponentially converges to zero, are formulated in a set of linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]

Abstract: This paper is focused on global exponential stability of certain switched systems with time-varying delays. By using an average dwell time (ADT) approach that is different from the method in [P.H.A. Ngoc, On exponential stability of nonlinear differential systems with time-varying delay, Applied Mathematics Letters 25 (2012) 1208–1213], we establish a new global exponential stability criterion for the switched linear time-delay system under the ADT switching. We also apply this method to a general switched nonlinear time-delay system. A numerical example is given to show the effectiveness of our results. [Copyright &y& Elsevier]

The switching signal design for exponential stability with H∞ performance of uncertain switched linear discrete-time systems with interval time-varying delay is considered. Systems with norm-bounded parameter uncertainties are considered. By taking a new Lyapunov-Krasovskii (LK) function, sufficient conditions for the existence of a class of stabilizing switching laws are derived in terms of linear matrix inequalities (LMIs) to guarantee the considered switched time-delay system to be exponentially stable. The resulting stability criteria are of fewer matrix variables and are less conservative than some existing ones. In addition, numerical examples are illustrated to show the main improvement. [ABSTRACT FROM AUTHOR]

This paper is focused on delay-independent stability analysis for a class of switched linear systems with time-varying delays that can be unbounded. When the switched system is not necessarily positive, we first establish a delay-independent stability criterion under arbitrary switching signal by using a new method that is different from the methods to positive systems in the literature. We also apply this method to a class of time-varying switched linear systems with mixed delays. [ABSTRACT FROM AUTHOR]

We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented. [ABSTRACT FROM AUTHOR]

The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented, respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays. [ABSTRACT FROM AUTHOR]