Geometric steady states of nonlinear systems

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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


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