Reference : Necessary and sufficient conditions for robust stability of a class of nonlinear systems
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/10993/16690
Necessary and sufficient conditions for robust stability of a class of nonlinear systems
English
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Dahleh, M. A. [> >]
1995
Proceedings of the 34th IEEE Conference on Decision and Control
Institute of Electrical and Electronics Engineers
Volume 1
401-406
Yes
0780326865
34th IEEE Conference on Decision and Control
13-15 December, 1995
New Orleans
USA
[en] Input-output stability results for feedback systems are developed. Robust stability conditions are presented for nonlinear systems with nonlinear uncertainty defined by some function (with argument equal to the norm of the input) that bounds its output norm. A sufficient small gain theorem for a class of these systems is presented. Then it is also shown that, for the vector spaces (l∞, ||·||∞) and (l2, ||·||2), the sufficient conditions are also necessary with some additional assumptions on the systems. These results capture the conservatism of the small gain theorem as it is applied to systems that do not need to have linear gain.
http://hdl.handle.net/10993/16690
10.1109/CDC.1995.478823

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
Necessary and Sufficient Conditions for Robust Stability of a Class of Nonlinear Systems.pdfPublisher postprint621 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.