A local input-to-state stability result w.r.t. attractors of nonlinear reaction-diffusion equations

被引：9
|
作者：
Dashkovskiy, Sergey [1 ]
Kapustyan, Oleksiy [2 ]
Schmid, Jochen [1 ,3 ]
机构：
[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
[2] Kiev Natl Taras Shevchenko Univ, UA-01033 Kiev, Ukraine
[3] Fraunhofer Inst Ind Math ITWM, D-67663 Kaiserslautern, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2020年 / 32卷 / 03期
关键词：
Local input-to-state stability; Global attractor; Nonlinear reaction-diffusion equations; BOUNDARY DISTURBANCES; PARABOLIC PDES; ISS; RESPECT;
D O I：
10.1007/s00498-020-00256-w
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 the local input-to-state stability of a large class of disturbed nonlinear reaction-diffusion equations w.r.t. the global attractor of the respective undisturbed system.
引用
收藏
页码：309 / 326
页数：18
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