THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS

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FAKHARZADEH ALIREZA; GHASEMIYAN SEID ABULFAZL; BADIOZZAMAN ABDOLJABBAR

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2007 | Volume:1 | Issue:2 Page(s): 81-96

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Title

THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS

Author(s)

FAKHARZADEH ALIREZA | GHASEMIYAN SEID ABULFAZL | BADIOZZAMAN ABDOLJABBAR | Issue Writer Certificate

Keywords

MULTI RESOLUTION ANALYSISQ2

WAVELETQ2

RADON MEASUREQ2

LINEAR PROGRAMMINGQ2

OPTIMAL CONTROLQ2

Abstract

By a brief review on the applications of WAVELETs in solving OPTIMAL CONTROL problems, a MULTI RESOLUTION ANALYSIS for two dimensional Sobolev spaces and the square spline WAVELETs are considered. Regarding the density and approximation properties of these WAVELETs, for the first time, they are employed for solving OPTIMAL CONTROL problems by embedding method. Existence and the determination way for the solution are also discussed. Finally, the abilities of the new approach are explained by a numerical example and some comparisons.

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APA: Copy

FAKHARZADEH, ALIREZA, GHASEMIYAN, SEID ABULFAZL, & BADIOZZAMAN, ABDOLJABBAR. (2007). THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS. JOURNAL OF MATHEMATICAL EXTENSION, 1(2), 81-96. SID. https://sid.ir/paper/240011/en

Vancouver: Copy

FAKHARZADEH ALIREZA, GHASEMIYAN SEID ABULFAZL, BADIOZZAMAN ABDOLJABBAR. THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2007;1(2):81-96. Available from: https://sid.ir/paper/240011/en

IEEE: Copy

ALIREZA FAKHARZADEH, SEID ABULFAZL GHASEMIYAN, and ABDOLJABBAR BADIOZZAMAN, “THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 1, no. 2, pp. 81–96, 2007, [Online]. Available: https://sid.ir/paper/240011/en

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