Optimal Control Problems for Semilinear Retarded Functional Differential Equations

Jin-Mun Jeong () and Hae-Jun Hwang ()
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Jin-Mun Jeong: Pukyong National University
Hae-Jun Hwang: Pukyong National University

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 1, No 3, 49-67

Abstract: Abstract This paper deals with the time optimal control problem for semilinear retarded functional differential equations by using the construction of the fundamental solution in the case where the principal operators are unbounded. We also present the maximum principle for controls which are described by the adjoint state corresponding to the linear equations without the condition of differentiability for the nonlinear term.

Keywords: Optimal control; Cost function; Semilinear retarded equation; Regularity of solution; Fundamental solution; Primary 49J20; Secondary 93C10 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-015-0726-8

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