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6 (10 marks) Consider the optimal control problem for the systemx(k 1) = 2x(k) u(k)with initial conditionx(0) = 0.9, the cost function and the constraint

6 (10 marks) Consider the optimal control problem for the systemx(k 1) = 2x(k) u(k)with initial conditionx(0) = 0.9, the cost function and the constraint Determine the optimal control strategy and the optimal value of the costfunction

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