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Optimal control problems with state constraints for semilinear distributed-parameter systems

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Abstract

We consider optimal control problems for distributed-parameter systems described by semilinear equations, with constraints on the control and on the state, and an exact pointwise target condition. As an application of a general theory of nonlinear programming problems in Banach spaces, a version of the Pontryagin maximum principle is obtained.

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Additional information

This research was partly supported by the National Science Foundation under Grant DMS-92-21819.

Communicated by F. A. Potra

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Fattorini, H.O. Optimal control problems with state constraints for semilinear distributed-parameter systems. J Optim Theory Appl 88, 25–59 (1996). https://doi.org/10.1007/BF02192021

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Key Words

  • Distributed-parameter systems
  • maximum principle
  • optimal control
  • state constraints