The maximum principle in infinite dimension

H. O. Fattorini

doi:10.3934/dcds.2000.6.557

Article Contents

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

This issue Previous Article A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions Next Article Existence of bounded trajectories via upper and lower solutions

The maximum principle in infinite dimension

H. O. Fattorini^1,

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

Received: July 1999

Revised: February 2000

Published: July 2000

Abstract Related Papers Cited by

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.

Citation:

Article Metrics

HTML views() PDF downloads(100) Cited by(0)

The maximum principle in infinite dimension

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The maximum principle in infinite dimension

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content