Analysis and optimal control of linear time-varying systems via general orthogonal polynomials
作者:
SHUH-CHUAN TSAY,
TSU-TIAN LEE,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 8
页码: 1579-1594
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708967137
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The operational matrix consisting of the product of two time functions, and the operational matrices for forward or backward integration consisting of general orthogonal polynomials are derived, respectively, for the analysis and optimal control of linear time-varying systems with a quadratic performance measure. The present results include results obtained via Chebyshev, Legendre, Laguerre, Jacobi, Hermite and ultraspherical polynomials as special cases.
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