On the 3-dimensional fractional-order Toda lattice with two controls

TL;DR

This paper investigates a 3-dimensional fractional-order Toda lattice with two controls, focusing on solution existence, stability, stabilization, and numerical methods for the system.

Contribution

It introduces a fractional-order model of the Toda lattice with controls and analyzes its solutions, stability, and stabilization techniques.

Findings

Existence and uniqueness of solutions established.

Asymptotic stability of equilibrium states demonstrated.

Numerical integration performed using fractional Euler method.

Abstract

On the 3-dimensional fractional-order Toda lattice with two controls The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to 3-dimensional Toda lattice with two controls. For this fractional system we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate controls and numerical integration via the fractional Euler method.