Title :
A general boundedness result for interconnected nonlinear systems
Author :
Kabuli, M.G. ; Gundes, A.N.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA
fDate :
8/1/1998 12:00:00 AM
Abstract :
A general boundedness result is given for the feedback interconnection of two nonlinear stable systems. Using the same input-output approach as in the standard small-gain theorem, the sufficient condition given here relaxes the finite-gain stability assumption and does not require a boundedness result for all possible bounded exogenous inputs. This condition has a simple graphical interpretation that utilizes graphs of bounding functions
Keywords :
feedback; interconnected systems; nonlinear systems; stability; boundedness; feedback; interconnected systems; nonlinear systems; small-gain theorem; stability; sufficient condition; Linear systems; Nonlinear systems; Robust stability; Signal analysis; Stability analysis; State feedback; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
