Geometric steady states of nonlinear systems

Xia, Xiaohua; Zhang, Jiangfeng

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dc.contributor.author	Xia, Xiaohua
dc.contributor.author	Zhang, Jiangfeng
dc.date.accessioned	2010-11-19T14:19:58Z
dc.date.available	2010-11-19T14:19:58Z
dc.date.issued	2010-06
dc.description.abstract	The analytic concept of steady states for nonlinear systems was introduced by Isidori and Byrnes, and its geometric properties were also given implicitly mixed with the solvability of the output regulation problem for nonlinear systems with neutrally stable exogenous signals. In this technical note, a geometric definition of steady states for nonlinear systems, which is named as geometric steady state, is formulated independent of the output regulation problem so that it can be applied to many problems other than output regulation and the exogenous system can be unstable too. Some sufficient conditions for the existence of geometric steady states and a practical application in robotics are also provided.	en_US
dc.description.sponsorship	This work was supported by the National Research Foundation.	en_US
dc.identifier.citation	Xia, X & Zhang, J 2010, 'Geometric steady states of nonlinear systems', IEEE Transactions on Automatic Control, vol. 55, no. 6, pp. 1448-1454. [http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9]	en_US
dc.identifier.issn	0018-9286
dc.identifier.other	10.1109/TAC.2010.2044261
dc.identifier.uri	http://hdl.handle.net/2263/15336
dc.language.iso	en	en_US
dc.publisher	Institute of Electrical and Electronics Engineers	en_US
dc.rights	© 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.	en_US
dc.subject	Controlled invariance	en_US
dc.subject	Output regulation	en_US
dc.subject	Steady state	en_US
dc.subject	Sylvester equation	en_US
dc.subject.lcsh	Nonlinear systems	en
dc.subject.lcsh	Geometric analysis	en
dc.subject.lcsh	Robotics	en
dc.title	Geometric steady states of nonlinear systems	en_US
dc.type	Article	en_US