Linear optimal control problem for discrete 2-D systems with constraints |
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| Authors: | Michael Dymkov |
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| Institution: | (1) Institute of Mathematics of the Academy of Sciences of Belarus, Surganova str., 11, 220072 Minsk, Belarus |
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| Abstract: | Optimal control problem for linear two-dimensional (2-D) discrete systems with mixed constraints is investigated. The problem under consideration is reduced to a linear programming problem in appropriate Hubert space. The main duality relations for this problem is derived such that the optimality conditions for the control problem are specified by using methods of the linear operator theory. Optimality conditions are expressed in terms of solutions for conjugate system. |
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| Keywords: | Linear discrete 2-D systems optimal control problem with constraints linear programming in Hubert space duality theory |
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