Partial practical stability for fractional-order nonlinear systems

In this paper, stability analysis which ensures the convergence of a part of the solutions towards a ball of a class of fractional-order nonlinear systems is described. Using the Lyapunov-like functions, such nonlinear systems depending on a small parameter is studied, and such practical stability is ensured. Numerical examples are given to illustrate the validity of the proposed theoretical results as well as a real application to a class of cobweb models.

Automated summary

This paper describes the stability analysis of a class of fractional-order nonlinear systems, ensuring the convergence of a part of the solutions towards a ball. By using Lyapunov-like functions, the study examines these nonlinear systems that depend on a small parameter, and guarantees practical stability. Numerical examples are provided to illustrate the validity of the proposed theoretical results, along with a real application to a class of cobweb models.