OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMS BY HYBRID LEGENDRE FUNCTIONS

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NAZARZADEH J.; NIKRAVESH S.K.; RAZZAGHI M.

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Journal: DANESHVAR MEDICINE Year:2002 | Volume:9 | Issue:37 Page(s): 67-72

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Title

OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMS BY HYBRID LEGENDRE FUNCTIONS

Author(s)

NAZARZADEH J. | NIKRAVESH S.K. | RAZZAGHI M. | Issue Writer Certificate

Keywords

OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMQ4

SPECTRAL THEORYQ4

HYBRID DOMAINQ4

OPERATIONAL MATRIXQ4

Abstract

A large class of nonlinear dynamical systems can be presented by polynomial nonlinear systems. Necessary conditions for optimal control of nonlinear systems are reduced to solve nonlinear differential equations with boundary conditions which their solutions in general can not be analytically obtained. Numerical solutions and spectral methods have been used in order to solve these systems. In this paper a numerical method is presented by using spectral hybrid functions for solving polynominal nonlinear, systems A numerical example is included to demonstrate the validity and applicability of the method and a comparison is made by existing results.

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APA: Copy

NAZARZADEH, J., NIKRAVESH, S.K., & RAZZAGHI, M.. (2002). OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMS BY HYBRID LEGENDRE FUNCTIONS. DANESHVAR MEDICINE, 9(37), 67-72. SID. https://sid.ir/paper/30619/en

Vancouver: Copy

NAZARZADEH J., NIKRAVESH S.K., RAZZAGHI M.. OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMS BY HYBRID LEGENDRE FUNCTIONS. DANESHVAR MEDICINE[Internet]. 2002;9(37):67-72. Available from: https://sid.ir/paper/30619/en

IEEE: Copy

J. NAZARZADEH, S.K. NIKRAVESH, and M. RAZZAGHI, “OPTIMAL CONTROL OF POLYNOMIAL NONLINEAR SYSTEMS BY HYBRID LEGENDRE FUNCTIONS,” DANESHVAR MEDICINE, vol. 9, no. 37, pp. 67–72, 2002, [Online]. Available: https://sid.ir/paper/30619/en

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