On the controllability of some steady states in the case of nonlinear discrete dynamical systems with control

TL;DR

This paper demonstrates that in nonlinear discrete dynamical systems, two stable steady states connected by an analytic path can be transitioned between through gradual control parameter adjustments.

Contribution

It introduces a method for smoothly transferring between stable steady states in nonlinear systems via successive control parameter modifications.

Findings

Successful transition between steady states demonstrated

Control parameter changes enable gradual state transfer

Applicable to systems with analytic steady state paths

Abstract

The main objective of this paper is to show that two asymptotically stable steady states which belong to an analytic path of asymptotically stable steady states can be gradually transferred one to the other by successive changes of the control parameters.