OPTIMAL CONTROL OF NONLINEAR PARABOLIC BOUNDARY CONTROL PROBLEM

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KHAKTAB A.R.; FARAHI M.H.; VAHIDIAN KAMYAD A.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN) Year:2001 | Volume:12 | Issue:3 Page(s): 211-225

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Title

OPTIMAL CONTROL OF NONLINEAR PARABOLIC BOUNDARY CONTROL PROBLEM

Author(s)

KHAKTAB A.R. | FARAHI M.H. | VAHIDIAN KAMYAD A. | Issue Writer Certificate

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Abstract

The boundary control of nonlinear parabolic equation with an integral performance criterion and a fixed final state is considered. By means of a well-known process of embedding (used by Rubio and others) for finite-dimensional system, this problem is replaced by one in which a linear form is minimized over a set of pairs of positive radon measures satisfying linear constraints. The optimal pair measures are then approximated by a finite combination of atomic measures and the problem converted to a finite-dimensional linear programming problem. The solution of this problem is used to construct a piecewise constant optimal control.The Advantages of this formulation are:(i) There is automatic existence theory.(ii) There exists the possibility of using linear functional analysis to developed the theory.(iii) The minimization is global.A numerical example is considered to illustrate the procedure.

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APA: Copy

KHAKTAB, A.R., FARAHI, M.H., & VAHIDIAN KAMYAD, A.. (2001). OPTIMAL CONTROL OF NONLINEAR PARABOLIC BOUNDARY CONTROL PROBLEM. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), 12(3), 211-225. SID. https://sid.ir/paper/65863/en

Vancouver: Copy

KHAKTAB A.R., FARAHI M.H., VAHIDIAN KAMYAD A.. OPTIMAL CONTROL OF NONLINEAR PARABOLIC BOUNDARY CONTROL PROBLEM. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)[Internet]. 2001;12(3):211-225. Available from: https://sid.ir/paper/65863/en

IEEE: Copy

A.R. KHAKTAB, M.H. FARAHI, and A. VAHIDIAN KAMYAD, “OPTIMAL CONTROL OF NONLINEAR PARABOLIC BOUNDARY CONTROL PROBLEM,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), vol. 12, no. 3, pp. 211–225, 2001, [Online]. Available: https://sid.ir/paper/65863/en

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