Title :
Systems with counterclockwise input-output dynamics
Author_Institution :
Dipt. Sistemi e Informatica, Univ. di Firenze, Italy
fDate :
7/1/2006 12:00:00 AM
Abstract :
A new input-output property is proposed, suitable for the study of positive feedback interconnections both in a linear and nonlinear set-up. Convergence results and small-gain theorems are proved as well as criteria for the application of the property to the study of multistability. Lyapunov-like conditions and dissipation inequalities for its detection are also provided.
Keywords :
Lyapunov methods; convergence; feedback; input-output stability; interconnected systems; Lyapunov-like conditions; convergence analysis; counterclockwise input-output dynamics; dissipation inequalities; multistability; positive feedback interconnections; Centralized control; Control system synthesis; Convergence; Feedback loop; Frequency domain analysis; Linear systems; Negative feedback; Nonlinear systems; Stability; Steady-state; Input–output stability; Lyapunov systems; lossy systems; positive real functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.878747
