Title :
On graphs, conic relations, and input-output stability of nonlinear feedback systems
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
5/1/1996 12:00:00 AM
Abstract :
This paper presents necessary and sufficient conditions for the stability of general interconnected dynamical systems. The results are expressed in terms of the graphs of the interconnection´s subsystems. Conditions for robustness of stability for an interconnection with additive disturbances are also provided. Finally, the paper gives sufficient conditions for stability using conic sector conditions that generalize earlier conditions and that incorporate a recent nonlinear small gain idea
Keywords :
closed loop systems; dynamics; graph theory; input-output stability; interconnected systems; nonlinear systems; additive disturbances; conic relations; input-output stability; interconnected dynamical systems; necessary condition; nonlinear feedback systems; robustness; sufficient condition; Feedback loop; Functional analysis; Linear systems; Nonlinear systems; Robust stability; Robustness; Signal generators; Stability analysis; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
