Abstract :
In this paper, we give a reformulation of the well-known passivity theorem for single-loop systems, which removes the asymmetry between the conditions on the forward and feedback subsystems. This reformulation leads to stability as well as instability criteria for interconnected systems, and these are shown to contain known results as special cases.
Keywords :
Feedback systems; Interconnected systems; Large-scale networks and systems; Nonlinear systems, continuous-time; Passivity; Stability; Circuits and systems; Councils; Equations; Feedback; Hilbert space; Interconnected systems; Large-scale systems; Stability criteria; Sufficient conditions;