The Steady States of Isotone Electric Systems
Dan Com\u{a}nescu
TL;DR
This paper investigates the steady states of isotone electric systems, focusing on their characterization via isotone functions, the existence of a dominant steady state, and its domain of attraction under fixed point iteration.
Contribution
It provides a theoretical analysis of steady states in isotone electric systems, identifying conditions for their existence and properties of the dominant steady state.
Findings
Existence of a dominant steady state when steady states are present.
Characterization of steady states using isotone functions.
Analysis of the domain of attraction for the fixed point iteration.
Abstract
The steady states of an isotone electric system are described by an isotone function with respect to the componentwise order. When there are steady states, we highlight a dominant steady state and we study its domain of attraction for the fixed point iteration method.
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Taxonomy
TopicsMatrix Theory and Algorithms · Control and Stability of Dynamical Systems · Quantum chaos and dynamical systems