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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

H. O. Fattorini 1,

1. 

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

Received  October 1994 Published  December 1994

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 and Continuous Dynamical Systems, 1995, 1 (1) : 77-101. doi: 10.3934/dcds.1995.1.77
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