Title :
On graphs, conic relations and input-output stability of nonlinear feedback systems
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
This paper presents necessary and sufficient conditions for 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 nonlinear small gain idea
Keywords :
feedback; graph theory; interconnected systems; nonlinear control systems; robust control; stability criteria; additive disturbances; conic relations; graphs; input-output stability; interconnected dynamical systems; necessary and sufficient conditions; nonlinear feedback systems; stability conditions; stability robustness; Feedback loop; Functional analysis; Linear systems; Nonlinear systems; Robust stability; Robustness; Signal generators; Stability analysis; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478906
