The extremum principle for some types of distributed parameter control systems

Abstract

In this paper, two types of general distributed parameter control problems in the Banach space with integral cost functional, with given terminal data and with initial data, given or insufficient, are considered. By using of the Dubovitskii-Milyutin method and some of its extensions, the extremum principles as well as sufficient conditions of optimality are proved for both types of problems.

Keywords:

• Extremum principle
• distributed parameter
• Dubovitskii-Milyutin method
• equality constraint
• terminal data

AMS:

• 49J27
• 49J50

¹Research supported by SIUE Research Scholar Award and partially by NSF grant DMS-9109324

¹Research supported by SIUE Research Scholar Award and partially by NSF grant DMS-9109324

Notes

¹Research supported by SIUE Research Scholar Award and partially by NSF grant DMS-9109324

Additional information

Notes on contributors

Urszula Ledzewicz-Kowalewskal

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