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arXiv 2608.31131math.OCmath.CA

时变集总半线性系统的可控性

Controllability of time-varying lumped semilinear systems

Hernán R. Henríquez, Matthieu F. Pinaud

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中文总结 AI 辅助

本研究针对由半线性微分方程描述的时变集总控制系统,在其 underlying 线性系统可控且非线性强迫函数满足适配有界性条件时,证明该半线性系统近似可控。

中文摘要 AI 辅助

本工作研究由半线性微分方程描述的时变集总控制系统的可控性,将该半线性系统视为线性系统的摄动。假设 underlying 线性系统可控,且非线性强迫函数满足适配于该 underlying 线性系统的有界性条件,我们证明该半线性系统也近似可控。

英文摘要

In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable

发表机构

  • Universidad de Santiago de Chile(圣地亚哥智利大学)

机构由 AI 辅助整理,请以论文原文为准。

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