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Browsing by Author "Majd, Vahid Johari"

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    Article
    Chaotic Incommensurate Fractional Order Rossler System: Active Control and Synchronization
    (Springer, 2011) Razminia, Abolhassan; Baleanu, Dumitru; Majd, Vahid Johari; Baleanu, Dumitru; 56389
    In this article, we present an active control methodology for controlling the chaotic behavior of a fractional order version of Rossler system. The main feature of the designed controller is its simplicity for practical implementation. Although in controlling such complex system several inputs are used in general to actuate the states, in the proposed design, all states of the system are controlled via one input. Active synchronization of two chaotic fractional order Rossler systems is also investigated via a feedback linearization method. In both control and synchronization, numerical simulations show the efficiency of the proposed methods.
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    Article
    Conditional Optimization Problems: Fractional Order Case
    (Springer/plenum Publishers, 2013) Razminia, Abolhassan; Baleanu, Dumitru; Baleanu, Dumitru; Majd, Vahid Johari
    In this manuscript, we introduce a new formulation for the constrained optimization problems in which the objective function is considered in the fractional integral form. The constraints are applied in two separate cases, namely, fractional differential and fractional isoperimetric constraints. In both cases, by using the extended Euler-Lagrange equations and the Lagrange multiplier method, the necessary conditions are obtained. An example is given in order to illustrate the effectiveness of the reported results.