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This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich, the approach has beenâ€¦ (More)

- Christopher I. Byrnes, Tryphon T. Georgiou, ALEXANDER MEGRETSKI, Alexandre Megretski
- 2004

In a seminal paper, Sarason generalized some classical interpolation problems for Hâˆž functions on the unit disc to problems concerning lifting onto H2 of an operator T that is defined on K= H2 Ï†H2 (Ï†â€¦ (More)

- F. J. D'Amato, Mario A. Rotea, Alexandre Megretski, Ulf T. JÃ¶nsson
- Automatica
- 2001

- Jorge M. GonÃ§alves, Alexandre Megretski, Munther A. Dahleh
- IEEE Trans. Automat. Contr.
- 2001

For a large class of relay feedback systems (RFS) there will be limit cycle oscillations. Conditions to check existence and local stability of limit cycles for these systems are well known. Globalâ€¦ (More)

For the problem of stabilization of mildly nonlinear systems with saturated control, a simple and computationally attractive method of designing a stabilizing gain scheduled output feedback isâ€¦ (More)

- Alexandre Megretski
- IEEE Transactions on Automatic Control
- 2005

Among the signs of developing maturity in a field of research is willingness to share research problems and encourage collaborative efforts toward resolving them. There are now two important examplesâ€¦ (More)

- Kin Cheong Sou, Alexandre Megretski, Luca Daniel
- IEEE Transactions on Computer-Aided Design ofâ€¦
- 2005

In this paper an optimization based model order reduction (MOR) framework is proposed. The method involves setting up a quasiconvex program that explicitly minimizes a relaxation of the optimalâ€¦ (More)

The paper describes a class of mathematical problems at an intersection of operator theory and combinatorics, and discusses their application in complex system analysis. The main object of study isâ€¦ (More)

- Yonina C. Eldar, Alexandre Megretski, George C. Verghese
- IEEE Transactions on Information Theory
- 2004

We develop a sufficient condition for the least-squares measurement (LSM), or the square-root measurement, to minimize the probability of a detection error when distinguishing between a collection ofâ€¦ (More)

- Anders Rantzer, Alexander Megretski, Anders Rantzer, Alexandre Megretski
- 1994

In this second report on system analysis via integral quadratic constraints, the theory is refined compared to Part I [6], to cover a number of additional cases. The report is split into two halfs,â€¦ (More)