论文标题
在一维空间中均匀的准四线双曲系统的最佳时间中有限的时间稳定
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space
论文作者
论文摘要
我们考虑具有一个侧面控制和非线性边界条件的均相准双曲系统的有限时间稳定。我们提供与时间无关的反馈，导致任何时间内有限的时间稳定，如果初始条件足够小，则在线性化系统的零可控性中大于最佳时间。关键技术之一是建立具有非线性，非本地边界条件的准双曲系统的局部良好性。
We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time stabilization in any time larger than the optimal time for the null controllability of the linearized system if the initial condition is sufficiently small. One of the key technical points is to establish the local well-posedness of quasilinear hyperbolic systems with nonlinear, non-local boundary conditions.
