Optimal Control Problems with State Constraints for Semilinear Distributed-Parameter Systems

摘要

We consider optimal control problems lor distiiluited-'parameter systems described by semilinear equations, with constraints on the control and on the stale, and an exact pointwise target condition. As an application of a general theory of nonlinear programming prob-lems in Banach spaces, a version of the Ponlryngin maximum principle is obtained.