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On reachable states of a class of distributed parameter systems with control constraints

The determination of the reachable states for a class of infinite-dimensional nonlinear systems with control constraints is investigated. The main results reduce this problem to the determination of the reachable states, by means of admissible controls, for the approximate linear systems. The approach is developed using a state space system framework and is based on the application of a result from coincidence of the topological degree theory. The paper also gives a procedure to generate an admissible control which steers the system to a reachable state.