Input-to-state stability results w.r.t. global attractors of semi-linear reaction-diffusion equations

被引：0

作者：

Dashkovskiy, Sergey ^{[1
]}

Kapustyan, Oleksiy ^{[2
]}

Schmid, Jochen ^{[3
]}

机构：

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[2] Taras Shevchenko Natl Univ Kyiv, UA-01033 Kiev, Ukraine

[3] Fraunhofer Inst Ind Math ITWM, D-67663 Kaiserslautern, Germany

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

input-to-state stability; asymptotic gain; global attractor; infinite-dimensional system; reaction-diffusion equation; PARABOLIC PDES; ISS;

D O I：

10.1016/j.ifacol.2020.12.2536

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish local input-to-state stability and asymptotic gain results for a class of nonlinear infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of reaction-diffusion equations with nontrivial global attractors. Copyright (C) 2020 The Authors.

引用

页码：3186 / 3191

页数：6

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