The Use of Legendre Polynomial Expansions in Solving Optimal Control Problems in the Spacel2†
作者:
GLENNA. GIBSON,
SOMESHWARC. GUPTA,
期刊:
International Journal of Control
(Taylor Available online 1967)
卷期:
Volume 5,
issue 5
页码: 451-472
ISSN:0020-7179
年代: 1967
DOI:10.1080/00207176708921777
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A method for solving a class of general deterministic optimal control problems is presented here. The method consists of relating the functions involved in the problem to sequences and then converting the problem to one which deals with these sequences alone. The function-sequence correspondence is defined by representing each function by its Legendre polynomial expansion and then relating the function to the sequence of coefficients in this expansion. After this is done, the problem is converted to one inl2; by determining the equivalents inl2; of differentiation, inner multiplication, and multiplication.
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