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Generalized shifted Chebyshev polynomials for fractional optimal control problems

机译:分数最优控制问题的广义移位Chebyshev多项式

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The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis functions that include free coefficients and control parameters. The GSCP are adopted to solve a class of fractional optimal control problems (FOCP). The corresponding operational matrices of derivatives are calculated for expanding the solution of the problem in terms of the GSCP. Numerical examples show the good performance of the algorithm. (C) 2019 Elsevier B.V. All rights reserved.
机译:广义移位的切比雪夫多项式(GSCP)代表一类新颖的基函数,其中包括自由系数和控制参数。采用GSCP解决一类分数最优控制问题(FOCP)。计算相应的导数运算矩阵,以根据GSCP扩展问题的解。数值算例表明了该算法的良好性能。 (C)2019 Elsevier B.V.保留所有权利。

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