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- Vassilis L. Syrmos, Chaouki T. Abdallah, Peter Dorato, K. Grigoriadis
- Automatica
- 1997

This paper reviews the static output feedback problem in the control of linear, time-invariant (LTI) systems. It includes analytical and computational methods and presents in a unified fashion, the knowledge gained in the decades of research into this important open problem. The paper shows that although many approaches and techniques exist to approach… (More)

- Vladimir Koltchinskii, Chaouki T. Abdallah, Marco Ariola, Peter Dorato, Dmitry Panchenko
- IEEE Trans. Automat. Contr.
- 2000

Recently, probabilistic methods and statistical learning theory have been shown to provide approximate solutions to “difficult” control problems. Unfortunately, the number of samples required in order to guarantee stringent performance levels may be prohibitively large. This paper introduces bootstrap learning methods and the concept of stopping times to… (More)

In this paper we show how a number of interesting linear control system analysis and design problems can be reduced to Quantiier Elimination (QE) problems. We assume a xed structure for the compensator, with design parameters q i. The problems considered are problems that currently have no general solution. However, the problems must be of modest complexity… (More)

- Mohammad Hayajneh, Chaouki T. Abdallah
- IEEE Communications Letters
- 2004

In this letter, we consider two distributed game theoretic algorithms to jointly solve the problem of optimizing the transmission rates and transmit powers for future wireless data communication systems. We then establish the existence, uniqueness and Pareto optimality of Nash equilibria of both games.

- Young Ho Kim, Frank L. Lewis, Chaouki T. Abdallah
- Automatica
- 1997

- Fernando Pérez-González, Gregory L. Heileman, Chaouki T. Abdallah
- 2007 IEEE International Conference on Image…
- 2007

We present a generalization of Benford's law for the first significant digit. This generalization is based on keeping two terms of the Fourier expansion of the probability density function of the data in the modular logarithmic domain. We prove that images in the discrete cosine transform domain closely follow this generalization. We use this property to… (More)

- John N. Chiasson, Zhong Tang, +4 authors Henry N. Jerez
- IEEE Trans. Contr. Sys. Techn.
- 2005

A deterministic dynamic nonlinear time-delay system is developed to model load balancing in a cluster of computer nodes used for parallel computations. The model is shown to be self consistent in that the queue lengths cannot go negative and the total number of tasks in all the queues and the network are conserved (i.e., load balancing can neither create… (More)

A linear time-delay system is used to model load balancing in a cluster of computer nodes used for parallel computations. The linear model is analyzed for stability in terms of the delays in the transfer of information between nodes and the gains in the load balancing algorithm. This model is compared with an experimental implementation of the algorithm on… (More)

- Peter Dorato, Wei Yang, Chaouki T. Abdallah
- J. Symb. Comput.
- 1997

In Anderson et al. (1975) the application of Tarski–Seidenberg decision theory (Tarski, 1951, Seidenberg, 1954) for the solution of the static output feedback stabilization problem for specific problems was first proposed. The general static output feedback stabilization problem is one of the most important open problems in feedback design. The problem can… (More)

In wireless cellular communication, it is essential to nd e ective means of power control of signals received from randomly dispersed users within one cell. E ective power control will heavily impact the system capacity. Distributed power control (DPC) is a natural choice for such purpose, because unlike centralized power control, DPC does not require… (More)