论文标题
通过单个移动执行器对非自主抛物线方程的稳定
Stabilization of nonautonomous parabolic equations by a single moving actuator
论文作者
论文摘要
结果表明，基于移动指示器函数的内部控制能够稳定矩形域中演变的抛物线方程状态。为了证明稳定性结果，我们从基于有限数量的静态执行器获得的倾斜投影反馈获得的控制开始，然后，当控制控制方面变化时，我们使用了状态的连续性，以构建一个开关控制，在每个给定时间的瞬间，在每个给定时间的瞬间，静态执行器中的一个静态执行器中的一个仅在进行静态执行者之间，我们只能通过静态执行器进行移动控制，我们才能通过静态执行器进行移动控制。数值计算是通过串联步骤进行的，在退缩的地平线控制方法之后进行。他们证实了移动控制的稳定性能。
It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the stabilizability result, we start with a control obtained from an oblique projection feedback based on a finite number of static actuators, then we used the continuity of the state when the control varies in relaxation metric to construct a switching control where at each given instant of time only one of the static actuators is active, finally we construct the moving control by traveling between the static actuators. Numerical computations are performed by a concatenation procedure following a receding horizon control approach. They confirm the stabilizing performance of the moving control.
