M. I. Shehata

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In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control-state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem(More)
In this communication we considered and studied the time-optimal control problem for a liner n n  cooperative parabolic system defined on a bounded open domain N R   with a strong constraint control n H U u)) ((1 0   . This problem is, steering an initial state u y = (0) with a control , u so that an observation) (t y hitting a given target set in(More)
We argue that fractional order (FO) differential equations are more suitable to model complex adaptive systems (CAS). Hence they are applied in replicator equations for non-cooperative game. Rock-Scissors-Paper game is discussed. It is known that its integer order model does not have a stable equilibrium. Its fractional order model is shown to have a(More)
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