Practical Stability Analysis for Swarm Systems
Xuebo Chen, Fuchen Pan, Lin Li, Hongyuan Fang · Proceedings of the Annual Conference of the IEEE Industrial Electronics Society · 2006
This paper considers practical stability of swarm systems in the framework of both biological and engineering problems. Taking a simple function of mutual attraction and repulsion between the individuals, a swarm model with and without perturbations is defined, and its practical stability is proved. Then, swarm models with some kinds of perturbations and their corresponding practical stability are discussed. Finally, the practical stability of swarm systems is illustrated through simulations within a three-dimensional space