Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series

Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series

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...

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Veröffentlicht in:Journal of sound and vibration 2006-05, Vol.292 (3), p.954-963
Hauptverfasser: Marzban, H.R., Razzaghi, M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Blocking
Delay
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Matrices
Physics
Sound
Taylor series
Vibration
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container_title Journal of sound and vibration
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creator Marzban, H.R.
Razzaghi, M.
description 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 their truncated hybrid functions. Operational matrices of integration, delay and product are presented and are utilized to reduce the solution of multi-delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
doi_str_mv 10.1016/j.jsv.2005.08.007
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source Elsevier ScienceDirect Journals
subjects Algebra
Blocking
Delay
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Matrices
Physics
Sound
Taylor series
Vibration
title Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series
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