Remarks on the relationship between Lp stability and internal stability of nonlinear systems
Article first published online: 4 JUN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 23, Issue 16, pages 1822–1827, 10 November 2013
How to Cite
Wang, X., Grip, H. F., Saberi, A., Stoorvogel, A. A. and Saberi, I. (2013), Remarks on the relationship between Lp stability and internal stability of nonlinear systems. Int. J. Robust Nonlinear Control, 23: 1822–1827. doi: 10.1002/rnc.2851
- Issue published online: 11 OCT 2013
- Article first published online: 4 JUN 2012
- Manuscript Accepted: 1 MAY 2012
- Manuscript Revised: 30 APR 2012
- Manuscript Received: 28 SEP 2010
- internal stability;
- nonlinear system
In this paper, we investigate the relationship between stability and internal stability of nonlinear systems. It is shown that under certain conditions, stability implies attractivity of the equilibrium and that local stability with finite gain implies local asymptotic stability of the origin. Copyright © 2012 John Wiley & Sons, Ltd.