A. Abdalrehman, A., N. Shihab, S. (2014). Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative. , 11(2), 229-234.
Asmaa A. Abdalrehman; Suha N. Shihab. "Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative". , 11, 2, 2014, 229-234.
A. Abdalrehman, A., N. Shihab, S. (2014). 'Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative', , 11(2), pp. 229-234.
A. Abdalrehman, A., N. Shihab, S. Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative. , 2014; 11(2): 229-234.

Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative

Baghdad Science Journal
Article 1, Volume 11, Issue 2, 2014, Pages 229-234
Authors
Asmaa A. Abdalrehman; Suha N. Shihab
Abstract
In this paper, a new third kind Chebyshev wavelets operational matrix of derivative is presented, then the operational matrix of derivative is applied for solving optimal control problems using, third kind Chebyshev wavelets expansions. The proposed method consists of reducing the linear system of optimal control problem into a system of algebraic equations, by expanding the state variables, as a series in terms of third kind Chebyshev wavelets with unknown coefficients. Example to illustrate the effectiveness of the method has been presented.
Keywords
third kind Chebyshev wavelets; operational matrix of derivative; optimal control problem
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