An easily implemented method for obtaining the reachable setRN, N > n, of annth-order discrete system with constraints on the input is described. This method uses elementary matrix calculations at each step to construct the boundary hyperplanes of the reachable set. The result can be applied to determine the minimum control time required for a given terminal state. IfN ≤ n, the method of echelon matrix analysis is employed to solve the same problem.
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J.-L. Lin (1970) studied this question.
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