用于网络化系统稳定性分析的小增益与密度传播不等式的结合
系统与控制
2016-11-29 v4 最优化与控制
摘要
本文考虑了小增益条件无法全局成立的非线性系统大规模互连的稳定性分析问题。通过结合小增益与密度传播不等式，证明了该网络的几乎输入到状态稳定性。
引用
@article{arxiv.1508.06018,
title = {A combination of small-gain and density propagation inequalities for stability analysis of networked systems},
author = {Humberto Stein Shiromoto and Petro Feketa and Sergey Dashkovskiy},
journal= {arXiv preprint arXiv:1508.06018},
year = {2016}
}
备注
This paper has been withdrawn by the authors due the fact that the main results Proposition 4.1 and Theorem 4.8 are not correct. Anonymous reviewers notice, that In the former the set B\A is not necessarily nonempty while, in the latter, the formulation and proof are unclear