Systems with counterclockwise input-output dynamics

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 co...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2006-07, Vol.51 (7), p.1130-1143
Main Author: Angeli, D.
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Centralized control
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Convergence
Criteria
Dissipation
Dynamical systems
Exact sciences and technology
Feedback loop
Frequency domain analysis
Inequalities
Input-output stability
Linear systems
lossy systems
Lyapunov systems
Negative feedback
Nonlinear dynamics
Nonlinear systems
Nonlinearity
positive real functions
Stability
Steady-state
System theory
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Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2006.878747