Madhu N. Belur

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In this paper, we study control by interconnection of linear differential systems. We give necessary and sufficient conditions for regular implementability of a given linear differential system. We formulate the problems of stabilization and pole placement as problems of finding a suitable, regularly implementable sub-behavior of the manifest plant(More)
We study the control problem from the point of view of the behavioral systems theory. Two controller constructions, called canonical controllers, are introduced. We prove that for linear time invariant behaviors, the canonical controllers implement the desired behavior if and only if there exists a controller that implements it. We also investigate the(More)
Active Queue Management (AQM) algorithms have been extensively studied in the literature in the context of wired networks. In this paper, we study AQM for wireless networks. Unlike wired link which is assumed to have a fixed capacity, a wireless link has a capacity that is time varying due to multipath fading and mobility. Thus, the controller is required(More)
In this paper we discuss the problem of computing the approximate GCD of two univariate polynomials. We construct a linearly structured resultant matrix from given polynomials. We show the equivalence of the full rank property of this resultant matrix and the coprimeness of the polynomials. Further we show that the nearest structured low rank approximation(More)