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Bernd Kolar; Markus Sch?berl

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Linearized Controllability Analysis of Semilinear Partial Differential Equations ? ?

机译：半线性部分微分方程的线性化可控性分析？？

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It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional nonlinear systems. In this paper, we restrict ourselves to semilinear infinite-dimensional systems, and show that the exact controllability of the linearized system implies exact controllability of the nonlinear system. The restrictions concerning the nonlinear operator are similar to those that can be found in the literature about the linearized stability analysis of semilinear systems.

机译：众所周知，通过显示线性化系统的可控性，可以建立有限维非线性系统的可控性。然而，这种古典结果并未概括为无限维度非线性系统。在本文中，我们将自己限制为半线性无限尺寸系统，并表明线性化系统的确切可控性意味着非线性系统的精确可控性。关于非线性操作员的限制类似于关于半线性系统线性化稳定性分析的文献中的那些。

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《IFAC PapersOnLine》 |2021年第9期|共6页
作者
Bernd Kolar; Markus Sch?berl;
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nonlinear systemsinfinite-dimensional systemslinearizationexact controllability;

机译：非线性SystemsInfinite-尺寸系统线性化表卡切换可控性;

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Linearized Controllability Analysis of Semilinear Partial Differential Equations ? ?

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