Title :
A general sufficient condition for stability of interconnected nonlinear systems
Author :
Kabuli, M.G. ; Gundes, A.N.
Author_Institution :
Integrated Syst. Inc., Sunnyvale, CA, USA
Abstract :
A sufficient condition for stability of the feedback interconnection of two nonlinear stable systems is given as a generalization of the standard “small-gain theorem”. Using the same input-output approach, the proposed extension reduces conservatism by relaxing the finite-gain stability assumption and by not requiring a boundedness result for all possible bounded inputs, and has simple geometric interpretations by utilizing graphs of upper-bounding functions
Keywords :
feedback; interconnected systems; nonlinear control systems; stability criteria; I/O approach; boundedness; feedback interconnection; finite-gain stability assumption; input-output approach; interconnected nonlinear systems; nonlinear stable systems; small-gain theorem; stability condition; upper-bounding function graphs; Linear systems; Nonlinear systems; Robust stability; Stability analysis; State feedback; Sufficient conditions;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574385
