In this paper, the switching dynamics of recurrent neural networks are studied. Sufficient conditions on global exponential stability with an arbitrary switching law or a dwell time switching law and the estimates of Lyapunov exponent are obtained. The obtained results can be used to analyze and synthesize a family of continuous-time configurations with the switching between the configurations....

The performance of a parallel computer greatly depends upon how, the different processors are capable of exchanging data. This, thus require an arbitrary permutation (nonblocking) to be done by the connection networks. A nonblocking network is capable of providing N parallel paths between a pair of nodes forming any arbitrary permutation. In this paper, we present three different simple nonbloc...

In this paper we derive necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for a finite set of linear positive systems. Both the state dependent and arbitrary switching cases are considered. Our results reveal an interesting characterisation of “linear” stability for the arbitrary switching case; namely, the existence of such a linear Lyapunov...

In this paper, a switching strategy is employed to solve the H2/H∞ multi objective controller design. Two controllers are designed to meet the H2 and H∞ performance specifications. Linear matrix inequalities are used in the controller design process. New switching signal is defined which is the combination of dwell time switching signal and multiple Lyapunov function such that stability of clos...

Abstract— The stability analysis problem is studied in this paper for a class of discrete-time switched time-delay systems described by delayed recurrence equations or a state matrix transformed after under the arrow form, by applying the comparison, the aggregations techniques and the M-matrix properties, new asymptotic stability conditions of such systems are derived under arbitrary switching...

In this paper, the problem of finding a stabilizing feedback controller for single input single output switched systems of order two is addressed. To ensure stability under arbitrary switching, the existence of a common Lyapunov function (CLF) needs to be established. A method for establishing the existence of CLFs, given suitable feedback controllers, is presented. The method presented here is...

This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs)...

Dual switching linear systems are systems with piecewise linear dynamics governed by two distinct external switching signals. In this paper one switching signal is stochastic and modeled as a time-homogeneous Markov chain, and the second one is assumed to be a control signal taking values in a finite set. This situation arises, for instance, in multi-loop networked control systems (NCS) with li...