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- Madhu N. Belur, Harry L. Trentelman
- IEEE Trans. Automat. Contr.
- 2002

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)

- Anak Agung Julius, Jan C. Willems, Madhu N. Belur, Harry L. Trentelman
- Systems & Control Letters
- 2005

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)

- Kanchan Chavan, Ram G. Kumar, Madhu N. Belur, Abhay Karandikar
- IEEE Trans. Contr. Sys. Techn.
- 2011

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 consider the problem of synthesis of dissipative systems for the case that first and higher order derivatives of the concerned variables also appear in the weighting function. The problem is formulated and solved using the behavioral approach to systems and control. It turns out that this problem can be reformulated analogously as a problem… (More)

- Debasattam Pal, Madhu N. Belur
- SIAM J. Control and Optimization
- 2008

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)

- Madhu N. Belur
- 2008

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 deals with dissipativity of uncontrollable linear time-invariant systems with quadratic supply rates and storage functions. A definition of dissipativity appropriate for this class of systems is given. We present a necessary and sufficient condition for dissipativeness in the single input / single output case.

- Madhu N. Belur, Harry L. Trentelman
- Systems & Control Letters
- 2004

It is well-known that the two situations: gain margin being infinite and phase margin being infinite are individually special cases of dissipativities with respect to suitable supply rates; the small gain theorem and passivity result being the respective theorems. However, in practice, the two margins being finite also allows concluding closed loop… (More)