Rachid Riah

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In this paper, chemotherapy of cancer is studied. The model chosen to simulate the behaviour of the cancer is based on the normal and the tumor cells evolution. Aggressive chemotherapy leading to tumor contraction must respect the constraint on the patient health, which is the lower admissible bound of the normal cells. The properties of positively(More)
In this paper, we consider the problem of characterizing the invariant and contractive ellipsoids for discrete-time saturated systems, as an estimate of the domain of attraction. The asymptotic stability of the controlled system is ensured by the contractive nature of the invariant set. Sufficient conditions for the existence of a quadratic set-induced(More)
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