AN OPTIMAL-CONTROL PROBLEM WITH NONLINEAR ELLIPTIC STATE-EQUATIONS

Date

1992-02-01

Author

Leblebicioğlu, Mehmet Kemal

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In this article some of the results for optimal control of linear systems have been generalized to a nonlinear case. This is achieved by employing standard techniques of the nonlinear theory. After demonstrating the existence of optimal controls, finite element method is used to discretize the problem. The resulting finite dimensional problem is solved by a special algorithm. The theoretical discussions are completed by proving that approximate solutions are reduced to exact solutions as the element size tends to zero. This study is closed by a presentation and a discussion of several related numerical results.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/42406

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/0022-247x(92)90152-4

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

M. K. Leblebicioğlu, “AN OPTIMAL-CONTROL PROBLEM WITH NONLINEAR ELLIPTIC STATE-EQUATIONS,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 178–205, 1992, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42406.