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The present study proposes a fuzzy mathematical model of HIV infection consisting of a linear fuzzy differential equations (FDEs) system describing the ambiguous immune cells level and the viral load which are due to the intrinsic fuzziness of the immune system's strength in HIV-infected patients. The immune cells in question are considered CD4+ T-cells and… (More)

Cardiac events could be taken into account as the leading causes of death throughout the globe. Such events also trigger an undesirable increase in what treatment procedures cost. Despite the giant leaps in technological development in heart surgery, coronary surgery still carries the high risk of the mortality. Besides, there is still a long way ahead to… (More)

- Amin Jajarmi, Naser Pariz, Ali Vahidian Kamyad, Sohrab Effati
- 2010

This paper presents a new approach to solve a class of nonlinear optimal control problems which have a quadratic performance index. In this approach, the nonlin-ear two-point boundary value problem (TPBVP), derived from the Pontryagin's maximum principle, is transformed into a sequence of linear time-invariant TPBVP's. Solving the proposed linear TPBVP… (More)

To solving nonlinear control problems and especially nonlinear optimal control problems (NOCP), classical methods are not usually efficient. In this paper we introduce a new approach for solving this class of problems by using Nonlinear Programming Problem (NLPP). First, we transfer the original problem to a new problem in form of calculus of variations.… (More)

In this paper, a new approach for finding an approximate solution for discrete optimal control problems is introduced. In this method the problem is transformed to a continuous optimal control problem whose solution may give rise to a good approximate solution for the original problem. Then, a measure-theoretical approach is applied to solve the new… (More)

In this paper, we are going to consider a nonlinear optimal control problem (NOC). First we change the (NOC) problem to an optimal differential inclusion problem (ODI), then by defining new control variables, (ODI) problem is converted to an optimal control problem where it is linear in term of control variable and we determine the approximation of this… (More)

- Somayyeh Lotfi Noghabi, Somayyeh Lotfi Noghabi, Ali Vahidian Kamyad, Mohsen Foroughipour, Amir Hooshang Mohammadpour
- 2013

Introduction: Epilepsy is a clinical syndrome in which seizures have a tendency to recur. Sodium valproate is the most effective drug in the treatment of all types of generalized seizures. Finding the optimal dosage (the lowest effective dose) of sodium valproate is a real challenge to all neurologists. In this study, a new approach based on Adaptive… (More)

- M. R. Ramezani-al, Ali Vahidian Kamyad, Naser Pariz
- IMA J. Math. Control & Information
- 2016