APPLICATION OF CAS WAVELETS ON THE SOLUTION OF OPTIMAL CONTROL CONSTRAINED BY TIME-DELAY SYSTEMS

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SHAMSI M.; KHAKSAR M.; Mehrpouya M.A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Seminar: IRANIAN CONFERENCE ON APPLIED MATHEMATICS
Year:2013 | Issue:5

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Title

APPLICATION OF CAS WAVELETS ON THE SOLUTION OF OPTIMAL CONTROL CONSTRAINED BY TIME-DELAY SYSTEMS

Author(s)

SHAMSI M. | KHAKSAR M. | Mehrpouya M.A. | Issue Writer Certificate

Keywords

OPTIMAL CONTROL

DELAY SYSTEM

CAS WAVELET

ORTHOGONAL FUNCTIONS

OPERATION MATRICES

Abstract

IN THIS WORK A NUMERICAL METHOD FOR FINDING THE OPTIMAL CONTROL OF A TIME-DELAY SYSTEM VIA A WAVELETS APPROACH IS DISCUSSED. WE HAVE CHOSEN CAS WAVELET FUNCTIONS AS A FAMILY OF ORTHOGONAL BASIS FUNCTIONS FOR OUR PURPOSE. THE PROPERTIES OF THE CAS WAVELETS ARE PRESENTED. THE OPERATIONAL MATRICES OF INTEGRATION, DELAY AND PRODUCT ARE GIVEN. THESE MATRICES ARE THEN UTILIZED TO REDUCE THE SOLUTION OF OPTIMAL CONTROL TO THE SOLUTION OF NONLINEAR PROGRAMMING PROBLEM. AN ILLUSTRATIVE EXAMPLE IS INCLUDED TO DEMONSTRATE THE VALIDITY AND APPLICABILITY OF THE TECHNIQUE.

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APA: Copy

SHAMSI, M., KHAKSAR, M., & Mehrpouya, M.A.. (2013). APPLICATION OF CAS WAVELETS ON THE SOLUTION OF OPTIMAL CONTROL CONSTRAINED BY TIME-DELAY SYSTEMS. IRANIAN CONFERENCE ON APPLIED MATHEMATICS. SID. https://sid.ir/paper/939328/en

Vancouver: Copy

SHAMSI M., KHAKSAR M., Mehrpouya M.A.. APPLICATION OF CAS WAVELETS ON THE SOLUTION OF OPTIMAL CONTROL CONSTRAINED BY TIME-DELAY SYSTEMS. 2013. Available from: https://sid.ir/paper/939328/en

IEEE: Copy

M. SHAMSI, M. KHAKSAR, and M.A. Mehrpouya, “APPLICATION OF CAS WAVELETS ON THE SOLUTION OF OPTIMAL CONTROL CONSTRAINED BY TIME-DELAY SYSTEMS,” presented at the IRANIAN CONFERENCE ON APPLIED MATHEMATICS. 2013, [Online]. Available: https://sid.ir/paper/939328/en

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