半线性系统吸引子的渐近增益结果
偏微分方程分析
2020-10-21 v2 最优化与控制
摘要
我们针对受扰半线性系统，相对于相应无扰系统的全局吸引子，建立了渐近增益以及输入到状态实用稳定性结果。我们将结果应用于一大类非线性反应扩散方程，例如包含受扰Chaffee–Infante方程的情形。
引用
@article{arxiv.1909.06302,
title = {Asymptotic gain results for attractors of semilinear systems},
author = {Jochen Schmid and Oleksiy V. Kapustyan and Sergey Dashkovskiy},
journal= {arXiv preprint arXiv:1909.06302},
year = {2020}
}
备注
29 pages. Added detailed explanations why we have to work with set-valued semiprocesses (end of Section 2.1 and beginning of Section 3)