Operational matrices of piecewise linear polynomial functions with application to linear time-varying systems
作者:
CHING-TIEN LIOU,
YI-SHYONG CHOU,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 10
页码: 1931-1942
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708967165
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Application of the piecewise linear polynomial functions expansion is extended to linear time-varying systems. With the treatment of the product of two time functions, two types of operational matrix are developed. By applying these operational matrices, the dynamic equations are transformed into a set of algebraic equations. A recursive algorithm is derived and the system equations can be solved with very low dimensional matrix inversions. This represents a considerable saving of computer memory capacity and computing time.
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