The Taylor delayed operational matrix is extended to the analysis of multidelay dynamic systems. A simple example is given to compare the exact solution and the solution obtained by the method shown in this paper. The result proves to be quite satisfactory.
โฆ LIBER โฆ
Walsh series analysis of multi-delay systems
โ Scribed by Wen-Liang Chen
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 429 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
A matrix, called the "delay operational matrix", is constructed from the Walsh matrix. This matrix, together with some matrices obtained from the delay operational matrix after performing right-shift operations, is used to solve multi-delay linear dynamic systems. A simple example is given to compare the actual solution and
the solution obtained by the techniques of this paper.
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A method for finding the solution of linear time-varying multi-delay systems using a hybrid function is proposed. The properties of the hybrid functions which consist of block-pulse functions plus Taylor series are presented. The method is based upon expanding various time functions in the system as