论文标题
Lyapunov的功能和有限的时间稳定在最佳时间内的均质线性和准线性双曲系统
Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
论文作者
论文摘要
一维空间中的双曲系统经常用于建模许多物理系统。在最近的作品中，我们引入了独立的反馈，从而导致有限的稳定化，以实现均质线性和准线性双曲线系统的最佳时间。在这项工作中，我们介绍了Lyapunov的这些反馈功能，并使用Lyapunov功能的估计值重新发现有限的稳定结果。
Hyperbolic systems in one dimensional space are frequently used in modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the finite stabilization for the optimal time of homogeneous linear and quasilinear hyperbolic systems. In this work, we present Lyapunov's functions for these feedbacks and use estimates for Lyapunov's functions to rediscover the finite stabilization results.
