A Lyapunov functional for a system with both lumped and distributed delay

In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distribut...

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Main Author:	Duda Jozef
Format:	Article
Language:	English
Published:	Polish Academy of Sciences 2017-12-01
Series:	Archives of Control Sciences
Subjects:	time-delay system Lyapunov matrix Lyapunov functional
Online Access:	http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0031/acsc-2017-0031.xml?format=INT

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spelling	doaj-84cadc84a71d44578f2ac4e2f5a6f7a52020-11-25T01:27:01ZengPolish Academy of SciencesArchives of Control Sciences2300-26112017-12-0127452754010.1515/acsc-2017-0031acsc-2017-0031A Lyapunov functional for a system with both lumped and distributed delayDuda Jozef0Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow, PolandIn the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distributed delay is presented. It is given the example illustrating the method.http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0031/acsc-2017-0031.xml?format=INTtime-delay systemLyapunov matrixLyapunov functional
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Duda Jozef
spellingShingle	Duda Jozef A Lyapunov functional for a system with both lumped and distributed delay Archives of Control Sciences time-delay system Lyapunov matrix Lyapunov functional
author_facet	Duda Jozef
author_sort	Duda Jozef
title	A Lyapunov functional for a system with both lumped and distributed delay
title_short	A Lyapunov functional for a system with both lumped and distributed delay
title_full	A Lyapunov functional for a system with both lumped and distributed delay
title_fullStr	A Lyapunov functional for a system with both lumped and distributed delay
title_full_unstemmed	A Lyapunov functional for a system with both lumped and distributed delay
title_sort	lyapunov functional for a system with both lumped and distributed delay
publisher	Polish Academy of Sciences
series	Archives of Control Sciences
issn	2300-2611
publishDate	2017-12-01
description	In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distributed delay is presented. It is given the example illustrating the method.
topic	time-delay system Lyapunov matrix Lyapunov functional
url	http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0031/acsc-2017-0031.xml?format=INT
work_keys_str_mv	AT dudajozef alyapunovfunctionalforasystemwithbothlumpedanddistributeddelay AT dudajozef lyapunovfunctionalforasystemwithbothlumpedanddistributeddelay
_version_	1725107426197241856

A Lyapunov functional for a system with both lumped and distributed delay

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