Partial practical stability for fractional‐order nonlinear systems

摘要

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.