Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities

Authors
Chu, YC Glover, K
Citation
Yc. Chu et K. Glover, Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities, IEEE AUTO C, 44(3), 1999, pp. 471-483
Citations number
26
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
3
Year of publication
1999
Pages
471 - 483
Database
ISI
SICI code
0018-9286(199903)44:3<471:BOTINA>2.0.ZU;2-E
Abstract
The class of nonlinear systems described by a discrete-time state equation containing a repeated scalar nonlinearity as in recurrent neural networks i s considered. Sufficient conditions are derived for the stability and induc ed norm of such systems using positive definite diagonally dominant Lyapuno v functions or storage functions, satisfying appropriate linear matrix ineq ualities. Results are also presented for model reduction errors for such sy stems.