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The study of the stability properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. The objective of this paper is to outline some of these problems, to review progress made in solving these problems in a number of diverse communities , and to review some problems that remain open. An important(More)
It was recently conjectured that the Hurwitz stability of the convex hull of a set of Metzler matrices is a necessary and sufficient condition for the asymptotic stability of the associated switched linear system under arbitrary switching. In this paper we show that: (i) this conjecture is true for systems constructed from a pair of second order Metzler(More)
In this report the ray-gridding approach, a new numerical technique for the stability analysis of linear switched systems is presented. It is based on uniform partitions of the state-space in terms of ray directions which allow refinable families of polytopes of adjustable complexity to be examined for invariance. In this framework the existence of a(More)
— In this paper we revisit the interaction between baseRT T estimation and congestion control action. We develop a simple AIMD-based scheme that allows network buffers to drain and thus demonstrate in a constructive manner that, with proper design, it is indeed possible for flows traversing a bottleneck link to estimate their base RTT reliably.
—Dynamic Takagi-Sugeno fuzzy models are not always easy to interpret, in particular when they are identified from experimental data. Ideally, it is desirable that a dynamic Takagi-Sugeno fuzzy model should give accurate global non-linear prediction and at the same time that its local models are close approximations to the local linearizations of the(More)
The use of multiple-model techniques has been reported in a variety of control and signal processing applications. However , several theoretical analyses have recently appeared which outline fundamental limitations of these techniques in certain domains of application. In particular, the identifiability and in-terpretability of local linear model parameters(More)
This paper presents and develops a novel delay-based additive increase, multiplicative decrease (AIMD) congestion control algorithm. The main features of the proposed solution include: 1) low standing queues and delay in homogeneous environments (with delay-based flows only); 2) fair coexistence of delay- and loss-based flows in heterogeneous environments;(More)
— Internet router buffers are used to accommodate packets that arrive in bursts and to maintain high utilization of the egress link. Such buffers can lead to large queueing delays. We propose a simple algorithm, Adaptive Drop-Tail (ADT), which regulates the queue size, based on prevailing traffic conditions, to a minimum size that still allows for a desired(More)