Question: please help 10. PROBLEM 10 Solve the following discrete time control problem T=99 max 2 lufwf mm 0 subject to u; E [0,1], $0 =

please help

10. PROBLEM 10 Solve the following discrete time control problem T=99 max 2 lufwf mm 0 subject to u; E [0,1], $0 = given, and n+1 = 9:;(ut + 1). Compute the maximum value; you do not need to produce the maximizing states and controls. Hint: Find a fownula for J3(:I:) in terms of T and 3. You may use induction to justify this formula, but you do not need to do so

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