Geometric steady states of nonlinear systems
| dc.contributor.author | Xia, Xiaohua | |
| dc.contributor.author | Zhang, Jiangfeng | |
| dc.contributor.email | xxia@postino.up.ac.za | en_US |
| 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 |