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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)

- 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)

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

- A. A. 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)

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

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)

— 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)

- Madhu N. Belur
- 2009

In this paper we address the problem that impulses might occur when a to-be-controlled plant is connected to a suitable controller. In the behavioral literature this issue is dealt when studying the so-called 'regular feedback interconnection' (RFI) of the plant and the controller behaviors. We address the question of when a given controlled behavior… (More)

- Rakesh U. Chavan, Madhu N. Belur, Debraj Chakraborty, D. Manjunath
- 2015 7th International Conference on…
- 2015

We develop a new model for traffic with on roads with multiple lanes but where the vehicles do not quite adhere to a lane discipline. To study the system the dynamics is split along two independent directions-the y-axis representing the direction of motion and and the x-axis representhe the lateral or the direction perpendicular to the direction of motion.… (More)

- Swanand R. Khare, Harish K. Pillai, Madhu N. Belur
- Systems & Control Letters
- 2012