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Time-Optimal Control Problem for n× n Co-Operative Parabolic Systems with Control in Initial Conditions

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DOI: 10.4236/apm.2013.39A1006    4,781 Downloads   6,285 Views   Citations


In this paper, time-optimal control problem for a liner n× n co-operative parabolic system involving Laplace operator is considered. This problem is, steering an initial state y(0)=u , with control u so that an observation y(t) hitting a given target set in minimum time. First, the existence and uniqueness of solutions of such system under conditions on the coefficients are proved. Afterwards necessary and sufficient conditions of optimality are obtained. Finally a scaler case is given.

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The authors declare no conflicts of interest.

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M. Shehata, "Time-Optimal Control Problem for n× n Co-Operative Parabolic Systems with Control in Initial Conditions," Advances in Pure Mathematics, Vol. 3 No. 9A, 2013, pp. 38-43. doi: 10.4236/apm.2013.39A1006.


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