On a Large-Gain Theorem (2007)
Mustafa Khammash, Alexander Megretski, Tryphon T. Georgiou
The aim of this paper is to give a general quantitative requirement which the loop gain must satisfy in order to stabilize a given unstable (possibly nonlinear and time-varying) plant, namely that...
Open Problems On, Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, ...
this paper we consider the well-known Schur problem the solution of which satisfy in addition the extremal condition (z)w(z) min ; jzj < 1 (58.1) where w(z) and min are mxm matrices and min > 0...
Generalized interpolation in H ∞ with a complexity constraint (2006)
Christopher I. Byrnes, Tryphon T. Georgiou, Anders Lindquist, Alexander Megretski
Abstract. In a seminal paper, Sarason generalized some classical interpolation problems for H ∞ functions on the unit disc to problems concerning lifting onto H 2 of an operator T that is defined...
Generalized interpolation in H ∞ with a complexity constraint (2006)
Christopher I. Byrnes, Tryphon T. Georgiou, Anders Lindquist, Alexander Megretski
Abstract. In a seminal paper, Sarason generalized some classical interpolation problems for H ∞ functions on the unit disc to problems concerning lifting onto H 2 of an operator T that is defined...
Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, Anders Rantzer, ...
Some of the problems appearing in this booklet will appear in a more extensive forthcoming book on open problems in systems theory. For more information about this future book, please consult the...
System Analysis via Integral Quadratic Constraints - Part I (1995)
Part I, Alexander Megretski, Anders Rantzer, A. Megretski, A. Rantzer
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 been...
System Analysis via Integral Quadratic Constraints - Part II (1994)
Anders Rantzer, Alexander Megretski, A. Rantzer, A. Megretski
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,...