Abstract
Optimal control of distributed-parameter systems is studied from a function space point of view. The adjoint-space technique of Balakrishnam is applied to solve a general class of linear distributed-parameter final-value problems in Hilbert space. The minimum-time control problem with multi-norm constraints for a general class of approximately controllable systems is treated, using the technique of Sarachik and Kranc, through the application of Hölder's inequality. Finally, a generalized Hölder's inequality for more than two Banach spaces is given, which is useful for solving a certain class of nonlinear control problems by the same methods. Two examples are included which illustrate the theory.
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