DETERMINING THE TIME-STATE DEPENDED INNER CONTROL FOR AN INHOMOGENEOUS LINEAR WAVE SYSTEM BASED ON THE CLASSICAL SOLUTION AND MEASURES

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FAKHARZADEH JAHROMI A.R.; ALAMDAR GHAHFAROKHI SEYED RASOUL

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Journal: RESEARCH JOURNAL OF UNIVERSITY OF ISFAHAN "SCIENCE" Year:2007 | Volume:26 | Issue:4 (PHYSICS, MATHEMATICS AND STATISTICS) Page(s): 1-12

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Title

DETERMINING THE TIME-STATE DEPENDED INNER CONTROL FOR AN INHOMOGENEOUS LINEAR WAVE SYSTEM BASED ON THE CLASSICAL SOLUTION AND MEASURES

Author(s)

FAKHARZADEH JAHROMI A.R. | ALAMDAR GHAHFAROKHI SEYED RASOUL | Issue Writer Certificate

Keywords

WAVE EQUATIONQ3

APPROXIMATIONQ3

CLASSICAL SOLUTIONQ3

RADON MEASUREQ3

EMBEDDING METHODQ3

OPTIMAL CONTROLQ3

LINEAR PROGRAMMINGQ3

Abstract

In EMBEDDING METHOD, the CLASSICAL SOLUTION of partial differential equations is rarely considered for solving the OPTIMAL CONTROL problems. Applying the CLASSICAL SOLUTION to obtain the optimal inner control for physical systems governed by an inhomogeneous linear WAVE EQUATION with initial, final and terminal conditions, is the aim of this paper. First, the CLASSICAL SOLUTION is determined. Then, by a metamorphosis, the problem is changed by one in which a linear functional to be minimized on a set of positive RADON MEASUREs.The property of the optimal measure causes to identify it as a solution of a finite LINEAR PROGRAMMING problem by two steps of APPROXIMATION. Therefore, the OPTIMAL CONTROL is obtained as a piecewise constant function. Moreover, the advantages of this method is explained by numerical examples and comparing the results.

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APA: Copy

FAKHARZADEH JAHROMI, A.R., & ALAMDAR GHAHFAROKHI, SEYED RASOUL. (2007). DETERMINING THE TIME-STATE DEPENDED INNER CONTROL FOR AN INHOMOGENEOUS LINEAR WAVE SYSTEM BASED ON THE CLASSICAL SOLUTION AND MEASURES. RESEARCH JOURNAL OF UNIVERSITY OF ISFAHAN "SCIENCE", 26(4 (PHYSICS, MATHEMATICS AND STATISTICS)), 1-12. SID. https://sid.ir/paper/55997/en

Vancouver: Copy

FAKHARZADEH JAHROMI A.R., ALAMDAR GHAHFAROKHI SEYED RASOUL. DETERMINING THE TIME-STATE DEPENDED INNER CONTROL FOR AN INHOMOGENEOUS LINEAR WAVE SYSTEM BASED ON THE CLASSICAL SOLUTION AND MEASURES. RESEARCH JOURNAL OF UNIVERSITY OF ISFAHAN "SCIENCE"[Internet]. 2007;26(4 (PHYSICS, MATHEMATICS AND STATISTICS)):1-12. Available from: https://sid.ir/paper/55997/en

IEEE: Copy

A.R. FAKHARZADEH JAHROMI, and SEYED RASOUL ALAMDAR GHAHFAROKHI, “DETERMINING THE TIME-STATE DEPENDED INNER CONTROL FOR AN INHOMOGENEOUS LINEAR WAVE SYSTEM BASED ON THE CLASSICAL SOLUTION AND MEASURES,” RESEARCH JOURNAL OF UNIVERSITY OF ISFAHAN "SCIENCE", vol. 26, no. 4 (PHYSICS, MATHEMATICS AND STATISTICS), pp. 1–12, 2007, [Online]. Available: https://sid.ir/paper/55997/en

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