A methodology is proposed for the control of switching systems characterized by linear system dynamics with a time delay in the input channel. The method incorporates a state predictor that at each switching period determines the effect that the next control input will have on the future output of the system, and chooses the input that will take the system closest to the desired future state. T...

We consider a switching system with time delay composed of a finite number of linear delay differential equations (DDEs). Each DDE consists of a sum of a linear ODE part and a linear DDE part. We study two particular cases: (a) all the ODE parts are stable and (b) all the ODE parts are unstable and determine conditions for delay independent stability. For case (a), we extend a standard result o...

We consider a class of bimodal systems which alternate modes on hitting`switch-ing surfaces': the canonical model is a physical thermostat. A suucient condition is obtained for the existence of periodic solutions. The signiicance for this theory of certain anomalous points on the switching surface is shown by an example with no periodic solutions. Further discussion is presented for the importa...

This paper investigates performance evaluation of Asynchronous Transfer Mode (ATM) switching systems: Private Branch Exchanges (PBX), switches and cross-connects. The performance evaluation of ATM switching systems is not as straightforward as one might expect. This is due to the fact that performance can be seen from different angles. The measurements presented in this paper include: throughpu...

Given a system that switches among N linear subsystems, this paper shows an approach that computes N dwell times, one for each of the subsystems, such that the overall system is stable under switching signals that respect the dwell times. The dwell times are obtained progressively starting from the groups of all pairwise switching systems, and increasing the size of the group by one for each st...

This paper extends the idea of switching T-S fuzzy systems with linear consequent parts to nonlinear ones. Each nonlinear subsystem is exactly represented by a T-S fuzzy system with Lure’ type consequent parts, which allows to model and control wider classes of switching systems and also reduce the computation burden of control synthesis. With the use of a switching fuzzy Lyapunov function, the...

WDM burst switching is an approach to building very high capacity routing switches based on optical data paths and electronic control. Burst switches assign user data bursts to channels in WDM links on-the-fly in order to provide efficient statistical multiplexing of high rate data channels. The overall system architecture is designed to facilitate the introduction of optical switching componen...

The purpose of switching systems is to connect and disconnect users in a communications network by activating and deactivating switching devices. At first sight, this may seem trivial, but there is, in fact, a vast literature on the subject, much of which is highly technical. The purpose of this article is to provide a flavor of this subject and identify some of its principal features. The arti...

We study computational questions related with the stability of discrete-time linear switching systems with switching sequences constrained by an automaton. We first present a decidable sufficient condition for their boundedness when the maximal exponential growth rate equals one. The condition generalizes the notion of the irreducibility of a matrix set, which is a well known sufficient conditi...

This paper is dedicated to the study of robust stability analysis and control synthesis for discrete time uncertain switching systems under arbitrary switching. Polytopic uncertainties are considered. We show that Lyapunov functions that depend on the uncertain parameter and that take into account the structure of the system may be used in order to reduce the conservatism related to uncertainty...