English

Dynamics analysis of the fractional-order Lagrange system

Dynamical Systems 2022-11-22 v1

Abstract

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

Keywords

Cite

@article{arxiv.2211.11459,
  title  = {Dynamics analysis of the fractional-order Lagrange system},
  author = {Mihai Ivan},
  journal= {arXiv preprint arXiv:2211.11459},
  year   = {2022}
}

Comments

11 pages, 6 figures, 1 table The final version of this paper appears in the journal: Int. J. Modern Eng. Research, 2022. arXiv admin note: text overlap with arXiv:2210.12751