Volume 1, Issue 1, October 2016, Page: 1-7
Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints
Mohammed Shehata, Department of Mathematics, Faculty of Science, Jazan University, Kingdom of Saudi Arabia
Received: Sep. 6, 2015;       Accepted: Sep. 17, 2015;       Published: Oct. 12, 2016
DOI: 10.11648/j.mma.20160101.11      View  4055      Downloads  232
Abstract
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 (see [1]).
Keywords
Time-Optimal Control Problem, Parabolic System, Dubovitskii - Milyutin Method, Canonical Approximations, Optimality Conditions
To cite this article
Mohammed Shehata, Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints, Mathematical Modelling and Applications. Vol. 1, No. 1, 2016, pp. 1-7. doi: 10.11648/j.mma.20160101.11
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