A hybrid domain analysis for systems with delays in state and control

The solution of time-delay systems is obtained by using a hybrid function. The properties of the hybrid functions consisting of block-pulse functions and Chebyshev polynomials are presented. The method is based upon expanding various time functions in the system as their truncated hybrid functions....

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Main Authors:	M. Razzaghi, H. R. Marzban
Format:	Article
Language:	English
Published:	Hindawi Limited 2001-01-01
Series:	Mathematical Problems in Engineering
Subjects:	Delay systems; Analysis; Hybrid; State; Control.
Online Access:	http://dx.doi.org/10.1155/S1024123X01001673

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record_format	Article
spelling	doaj-d8541e920539497d9987066f526499532020-11-25T00:52:22ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472001-01-017433735310.1155/S1024123X01001673A hybrid domain analysis for systems with delays in state and controlM. Razzaghi0H. R. Marzban1Department of Mathematics and Statistics, Mississippi State University, Mississippi State, 39762, MS, USADepartment of Mathematics, Amirkabir University, Tehran, IranThe solution of time-delay systems is obtained by using a hybrid function. The properties of the hybrid functions consisting of block-pulse functions and Chebyshev polynomials are presented. The method is based upon expanding various time functions in the system as their truncated hybrid functions. The operational matrix of delay is introduced. The operational matrices of integration and delay are utilized to reduce the solution of time-delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.http://dx.doi.org/10.1155/S1024123X01001673Delay systems; Analysis; Hybrid; State; Control.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Razzaghi H. R. Marzban
spellingShingle	M. Razzaghi H. R. Marzban A hybrid domain analysis for systems with delays in state and control Mathematical Problems in Engineering Delay systems; Analysis; Hybrid; State; Control.
author_facet	M. Razzaghi H. R. Marzban
author_sort	M. Razzaghi
title	A hybrid domain analysis for systems with delays in state and control
title_short	A hybrid domain analysis for systems with delays in state and control
title_full	A hybrid domain analysis for systems with delays in state and control
title_fullStr	A hybrid domain analysis for systems with delays in state and control
title_full_unstemmed	A hybrid domain analysis for systems with delays in state and control
title_sort	hybrid domain analysis for systems with delays in state and control
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2001-01-01
description	The solution of time-delay systems is obtained by using a hybrid function. The properties of the hybrid functions consisting of block-pulse functions and Chebyshev polynomials are presented. The method is based upon expanding various time functions in the system as their truncated hybrid functions. The operational matrix of delay is introduced. The operational matrices of integration and delay are utilized to reduce the solution of time-delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
topic	Delay systems; Analysis; Hybrid; State; Control.
url	http://dx.doi.org/10.1155/S1024123X01001673
work_keys_str_mv	AT mrazzaghi ahybriddomainanalysisforsystemswithdelaysinstateandcontrol AT hrmarzban ahybriddomainanalysisforsystemswithdelaysinstateandcontrol AT mrazzaghi hybriddomainanalysisforsystemswithdelaysinstateandcontrol AT hrmarzban hybriddomainanalysisforsystemswithdelaysinstateandcontrol
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A hybrid domain analysis for systems with delays in state and control

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