Title :
Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems
Author :
Chen, Gui-Qiang ; Gui-Qiang Chen ; Freeman, Randy A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northwestern Univ., Evanston, IL, USA
Abstract :
For the feedback interconnection of general nonlinear systems, the classical small-gain condition is sufficient but not necessary for robust stability. We introduce a weaker notion of gain which yields a small-gain condition which is both necessary and sufficient for robust stability. We also discuss conditions under which the two notions coincide.
Keywords :
feedback; nonlinear control systems; robust control; conditional gain; feedback interconnection; necessary and sufficient condition; nonlinear systems; robust stability; small-gain condition; Fading; Feedback; Hydrogen; Mathematics; Nonlinear systems; Robust stability; Robustness; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1430230
