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- J. Karrakchou, M. Rachik, S. Gourari
- Applied Mathematics and Computation
- 2006

An existing infectious model describing the interaction of HIV virus and the immune system of the human body is utilized to determine the optimal methodology for administering anti-viral medication therapies to fight HIV infection. This work investigates the fundamental role of chemotherapy treatment in controlling the virus reproduction. We work in the… (More)

- M. Rachik
- 2007

Consider the discrete nonlinear system x(i + 1) = f(x(i)), i ≥ 0 and the corresponding output signal y(i) = Cx(i), i ≥ 0. Given a constraint set Ω ⊂ IR, a initial state x(0) is said to be output admissible if the resulting output function satisfies the condition y(i) ∈ Ω, ∀i ≥ 0. The set of all possible such initial conditions is the output maximal… (More)

- L. Chraïbi, J. Karrakchou, M. Rachik, A. Ouansafi
- IMA J. Math. Control & Information
- 2006

The present work deals with the linear quadratic control problem for a discrete distributed system with terminal convex constraint. Using techniques of perturbation by feedback, it is shown that the resolution of the considered problem is equivalent to that of a controllability, one so-called Extended Exact Controllability with time-varying operators. The… (More)

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