非自治半线性输入输出系统的适定性与稳定性
偏微分方程分析
2021-01-15 v2 最优化与控制
摘要
我们建立了非自治半线性输入输出系统的适定性结果，核心假设为所考虑半线性系统的散射无源性。我们同时考虑了具有分布控制与观测的系统，以及具有边界控制与观测的系统。给出了对非线性受控配置系统与非线性受控端口-Hamilton 系统的应用。
引用
@article{arxiv.1904.10376,
title = {Well-posedness and stability of non-autonomous semilinear input-output systems},
author = {Jochen Schmid},
journal= {arXiv preprint arXiv:1904.10376},
year = {2021}
}
备注
31 pages, 1 figure. Added an application example (Section 5.1). Also, added proofs (Section 3.1 and 4.1) and stability statements to the well-posedness theorems (Section 3.2 and 4.2). And finally, removed some errors, namely a slight imprecision in the definition of generalized solutions and outputs (see discussion at the very end of Section 2.1) and an error in the assumptions of Corollary 5.1