Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-17T14:46:43.368Z Has data issue: false hasContentIssue false

Necessary optimality conditions for a problem with costs of rapid variation of control

Published online by Cambridge University Press:  17 February 2009

S. Walczak
Affiliation:
Institute of Mathematics, University of Łódź, Poland.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper a control problem with a cost functional depending on the number of switchings and on the speed of alterations of control is considered. Necessary conditions for the existence of an optimal solution are given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Athans, M. and Falb, P. L., Optimal control (McGraw-Hill, New York, 1966).Google Scholar
[2]Ioffe, A. D. and Tikhomirov, V. M., Theory of extremal problems (North-Holland, New York, 1979).Google Scholar
[3]Noussair, E. S., “On the existence of piecewise continuous optimal controls”, J. Austral. Math. Soc. Ser. B. 20 (1977), 3137.Google Scholar