松弛系统与循环单调性
最优化与控制
2023-12-07 v1
摘要
证明了LTI系统是松弛系统当且仅当其Hankel算子是循环单调的。Hankel算子的循环单调性意味着存在一个存储函数，其梯度是Hankel算子。该存储函数仅依赖于过去的输入，与状态空间实现无关，并且可以推广到非线性电路元件。
引用
@article{arxiv.2312.03389,
title = {Relaxation systems and cyclic monotonicity},
author = {Thomas Chaffey and Henk J. van Waarde and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2312.03389},
year = {2023}
}
备注
Accepted to the 2023 IEEE Conference on Decision and Control