We construct explicit time-varying feedback laws leading to the global (null) stabilization in small time of the viscous Burgers equation with three scalar controls. Our feedback laws use first the quadratic transport term to achieve the small-time global approximate stabilization and then the linear viscous term to get the small-time local stabilization.

中文翻译：

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具有三个标量控制的粘性 Burgers 方程的小时间全局稳定

我们构造具有三个标量控制的粘性Burgers方程的显式时变反馈定律，从而在较小的时间内导致全局（零）稳定。我们的反馈定律首先使用二次传输项来实现小时间全局近似稳定，然后使用线性粘性项来获得小时间局部稳定。