arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2302.09175math.OCmath.AP
收藏

漏斗控制的BIBO稳定性:具有无界输入和输出算子的半线性内动力学

BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators

Anthony Hastir, René Hosfeld, Felix L. Schwenninger, Alexander A. Wierzba

摘要:

本文研究了考虑边界控制和边界观测的半线性无穷维动力系统的有界输入有界输出(BIBO)稳定性。基于插值空间的利普希茨条件,给出了BIBO稳定的充分条件.我们的研究结果可以应用于保证漏斗控制耦合ODE-PDE系统的可行性,通过一个例子,从化工。

英文摘要:

This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑