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)
—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)
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)
Dissipative systems have played an important role in the analysis and synthesis of dynamical systems. The commonly used definition of dissipativity often requires an assumption on the controllability of the system. In this paper we use a definition of dissipativity that is slightly different (and less often used in the literature) to study a linear,(More)
— This paper concerns studying dissipativity of a system with supply rates that depend on one or more parameters. We show that suitable choice of supply rate turns out to make dissipativity equivalent to traditional gain/phase margin conditions for stability. Further, the well-known circle criterion corresponds to a different supply rate, and here(More)
— In this paper we study solutions to linear ordinary constant coefficient differential equations on the half-line and relate impulsive solutions to the pole/zero structure at infinity of an associated polynomial matrix. While this relation has been thoroughly studied for first order systems, and through first order analysis also for higher order systems(More)