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Zhang H.,Hebei University of Technology | Zhang H.,Hebei Normal University | Tao Y.,Hebei University of Technology | Zhang Z.,Hebei Normal University | Zhang Z.,Key Laboratory of Computational Mathematics and Applications of Hebei Province
Systems and Control Letters | Year: 2016

This paper considers the strong solvability of interval max-plus systems. The solvable entry and solvable interval are introduced to establish the necessary and sufficient condition for strong solvability of interval max-plus systems. It is proved that such a criterion is equivalent to the criterion proposed by Cechlárová and Cuninghame-Green. The interval strong solution of interval max-plus systems is described and the necessary and sufficient condition for uniquely strong solvability is given. The method of testing strong solvability of interval max-plus systems is constructive and leads to an effective algorithm. To illustrate our results, a workshop optimal control problem is addressed. © 2016 Elsevier B.V.

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