Title :
A weak L2-gain property for nonlinear systems
Author :
Dower, Peter M. ; Kellett, Christopher M. ; Huan Zhang
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
Nonlinear L2-gain is a generalization of the conventional (linear) notion of L2-gain in which the linear scaling of input energy is replaced by a nonlinear comparison function scaling. In this paper, this nonlinear L2-gain property is formalized as being strictly weaker than the conventional linear property. This is achieved by appealing to existing results in the literature that demonstrate qualitative equivalences between linear L2-gain and input-to-state stability (ISS), and between nonlinear L2-gain and the strictly weaker integral ISS (iISS) property.
Keywords :
input-output stability; nonlinear control systems; nonlinear dynamical systems; iISS property; input energy linear scaling; input-to-state stability; linear L2-gain property; nonlinear function scaling; qualitative equivalences; strictly weaker integral ISS property; strictly weaker nonlinear weak L2-gain property; Gain; Inspection; Nonlinear systems; Robust stability; Stability criteria; Transient analysis; L2-gain analysis; input-to-state stability; integral input-to-state stability; nonlinear systems;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6425918
