The maximum principle in infinite dimension

H. O. Fattorini

doi:10.3934/dcds.2000.6.557

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2000, Volume 6, Issue 3: 557-574. Doi: 10.3934/dcds.2000.6.557

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The maximum principle in infinite dimension

H. O. Fattorini^1,

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

Received: June 30, 1999

Revised: January 31, 2000

Published: June 2000

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Abstract

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:

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

Mathematics Subject Classification: Primary: 49J27, 49K27, 93E20, 93E25.

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