To facilitate the understanding of my paper "The Lyapunov Concept of Stability from the Standpoint of Poincare Approach: General Procedure of Utilization of Lyapunov Functions for Non-Linear Non-Autonomous Parametric Differential Inclusions" I've added a simple example to it. I illustrate the theoretical results with a 2D system of ODEs with parameters. The illustration is accompanied with MATLAB simulation. Everyone who is interested in Theory of Stability is invited to review the paper.