The maximum principle for linear infinite dimensional control systems with state constraints

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January 1995, 1(1): 77-101. doi: 10.3934/dcds.1995.1.77

The maximum principle for linear infinite dimensional control systems with state constraints

1.	Department of Mathematics, University of California, Los Angeles, California 90024, United States

Received October 1994 Published December 1994

Abstract
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We prove a version of Pontryagin's maximum principle for linear infinite dimensional control systems (including point target conditions and state constraints). This result covers some examples for which no nonlinear theory is available at present.

Keywords: distributed parameter systems, state constraints., optimal controls, maximum principle.

Mathematics Subject Classification: 34H05, 35B5.

Citation: H. O. Fattorini. The maximum principle for linear infinite dimensional control systems with state constraints. Discrete & Continuous Dynamical Systems - A, 1995, 1 (1) : 77-101. doi: 10.3934/dcds.1995.1.77

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