Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach

Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach

In this work, input-to-state stability of Lur’e hyperbolic distributed complex-valued parameter control systems has been addressed. Using comparison principle, delay-dependent sufficient conditions for the input-to-state stability in complex Hilbert spaces are established in terms of linear operator...

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Main Authors: Zhixin Tai, Xingcheng Wang, Yan Shi, Hamid Reza Karimi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/364057
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spelling doaj-b8587c9f83664c0fa0b3f84c9bd1a4ab2020-11-24T22:43:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/364057364057Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI ApproachZhixin Tai0Xingcheng Wang1Yan Shi2Hamid Reza Karimi3Institute of Dynamics and Control, School of Astronautics and Aeronautics, Tsinghua University, Beijing 100084, ChinaDepartment of Automation, School of Information Science and Technology, Dalian Maritime University, Dalian 116026, ChinaSchool of Industrial Engineering, Tokai University, Kumamoto 862-8652, JapanDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayIn this work, input-to-state stability of Lur’e hyperbolic distributed complex-valued parameter control systems has been addressed. Using comparison principle, delay-dependent sufficient conditions for the input-to-state stability in complex Hilbert spaces are established in terms of linear operator inequalities. Finally, numerical computation illustrates our result.http://dx.doi.org/10.1155/2013/364057
collection DOAJ
language English
format Article
sources DOAJ
author Zhixin Tai
Xingcheng Wang
Yan Shi
Hamid Reza Karimi
spellingShingle Zhixin Tai
Xingcheng Wang
Yan Shi
Hamid Reza Karimi
Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
Mathematical Problems in Engineering
author_facet Zhixin Tai
Xingcheng Wang
Yan Shi
Hamid Reza Karimi
author_sort Zhixin Tai
title Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
title_short Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
title_full Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
title_fullStr Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
title_full_unstemmed Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach
title_sort input-to-state stability of lur’e hyperbolic distributed complex-valued parameter control systems: loi approach
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description In this work, input-to-state stability of Lur’e hyperbolic distributed complex-valued parameter control systems has been addressed. Using comparison principle, delay-dependent sufficient conditions for the input-to-state stability in complex Hilbert spaces are established in terms of linear operator inequalities. Finally, numerical computation illustrates our result.
url http://dx.doi.org/10.1155/2013/364057
work_keys_str_mv AT zhixintai inputtostatestabilityoflurehyperbolicdistributedcomplexvaluedparametercontrolsystemsloiapproach
AT xingchengwang inputtostatestabilityoflurehyperbolicdistributedcomplexvaluedparametercontrolsystemsloiapproach
AT yanshi inputtostatestabilityoflurehyperbolicdistributedcomplexvaluedparametercontrolsystemsloiapproach
AT hamidrezakarimi inputtostatestabilityoflurehyperbolicdistributedcomplexvaluedparametercontrolsystemsloiapproach
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