确定性扰动下Cucker-Smale型非对称网络类的收敛性分析
Convergence Analysis of Classes of Asymmetric Networks of Cucker-Smale Type with Deterministic Perturbations
摘要：
引入并讨论了具有非对称耦合权的Cucker-Smale模型的两种非线性扰动扩展。第一个模型假设一个有限的自治代理的集合，旨在执行一致的过程中存在相同的内部动态。第二个模型描述了一个类似的人口的代理，执行速度对齐的限制无碰撞轨道。虽然定性不同，我们解释如何在一个统一的框架下分析这两种非平凡类型的扰动。严格的分析，建立新的充分条件渐近群集的同步运动。我们的结果的应用进行了比较，模拟，以说明我们的理论估计的有效性。
英文摘要：
We introduce and discuss two nonlinear perturbed extensions of the Cucker-Smale model with asymmetric coupling weights. The first model assumes a finite collection of autonomous agents aiming to perform a consensus process in the presence of identical internal dynamics. The second model describes a similar population of agents that perform velocity alignment with the restriction of collision-free orbits. Although qualitatively different, we explain how these two non-trivial types of perturbations are analyzed under a unified framework. Rigorous analysis is conducted towards establishing new sufficient conditions for asymptotic flocking to a synchronized motion. Applications of our results are compared with simulations to illustrate the effectiveness of our theoretical estimates.
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