The maximum principle in infinite dimension

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July 2000, 6(3): 557-574. doi: 10.3934/dcds.2000.6.557

The maximum principle in infinite dimension

1.	University of California, Department of Mathematics, Los Angeles, California 90095, United States

Received July 1999 Revised February 2000 Published April 2000

Abstract
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We provide a counterexample to the maximum principle for the minimum norm problem and establish several relations between this problem and the time optimal problem. The system is linear, infinite dimensional, with point target and "full" control.

Keywords: time optimal problem, minimum norm problem., Linear control systems in Banach spaces.

Mathematics Subject Classification: Primary: 49J27, 49K27, 93E20, 93E2.

Citation: H. O. Fattorini. The maximum principle in infinite dimension. Discrete & Continuous Dynamical Systems - A, 2000, 6 (3) : 557-574. doi: 10.3934/dcds.2000.6.557

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