Input-to-state stability of a class of Lur'e descriptor systems

Yang, C; Zhang, Q; Huang, S

Input-to-state stability of a class of Lur'e descriptor systems

Yang, C Zhang, Q Huang, S

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Publication Type:: Journal Article
Citation:: International Journal of Robust and Nonlinear Control, 2013, 23 (12), pp. 1324 - 1337
Issue Date:: 2013-08-01

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Field	Value	Language
dc.contributor.author	Yang, C	en_US
dc.contributor.author	Zhang, Q	en_US
dc.contributor.author	Huang, S https://orcid.org/0000-0002-6124-4178	en_US
dc.date.issued	2013-08-01	en_US
dc.identifier.citation	International Journal of Robust and Nonlinear Control, 2013, 23 (12), pp. 1324 - 1337	en_US
dc.identifier.issn	1049-8923	en_US
dc.identifier.uri	http://hdl.handle.net/10453/26037
dc.description.abstract	This paper considers a class of Lur'e descriptor systems (LDS) subject to exogenous disturbances. The concept of input-to-state stability (ISS) is generalized to descriptor systems. Such a notion characterizes the robust stability of the full state of the systems. Based on the conventional ISS theory, a sufficient condition expressed by linear matrix inequalities (LMIs) for the LDS to be ISS is derived. It is further shown that this condition also guarantees a special class of LDS to be of index one. Then, a state feedback controller is designed to make the closed-loop system ISS. Finally, an example is given to illustrate the obtained results. Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd.	en_US
dc.relation.ispartof	International Journal of Robust and Nonlinear Control	en_US
dc.relation.isbasedon	10.1002/rnc.2821	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Input-to-state stability of a class of Lur'e descriptor systems	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	23	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CAS - Centre for Autonomous Systems
utslib.copyright.status	closed_access
pubs.issue	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	23	en_US

Abstract:

This paper considers a class of Lur'e descriptor systems (LDS) subject to exogenous disturbances. The concept of input-to-state stability (ISS) is generalized to descriptor systems. Such a notion characterizes the robust stability of the full state of the systems. Based on the conventional ISS theory, a sufficient condition expressed by linear matrix inequalities (LMIs) for the LDS to be ISS is derived. It is further shown that this condition also guarantees a special class of LDS to be of index one. Then, a state feedback controller is designed to make the closed-loop system ISS. Finally, an example is given to illustrate the obtained results. Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd.

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http://hdl.handle.net/10453/26037