We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.

中文翻译：

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边界控制系统的漏斗控制

我们研究了一种应用于边界控制系统的非线性、非自主反馈控制器。我们的目标是跟踪具有规定性能的给定参考信号。使用非线性算子理论证明了所得闭环系统解的存在性和唯一性。我们将我们的结果应用于双曲线和抛物线方程。