仿射控制非线性系统采样数据反馈镇定的充分李代数条件
最优化与控制
2015-09-10 v3
摘要
对于一般非线性自治系统，建立了通过时变采样数据反馈实现半全局渐近镇定的可能性的Lyapunov刻画。我们利用这一结果，推导了具有非零漂移项的仿射控制非线性系统采样数据反馈半全局镇定的李代数充分条件。相应的命题构成了关于反馈镇定的“Artstein-Sontag”定理的推广。
引用
@article{arxiv.1407.8380,
title = {Sufficient Lie Algebraic Conditions for Sampled-Data Feedback Stabilizability of Affine in the Control Nonlinear Systems},
author = {John Tsinias and Dionysis Theodosis},
journal= {arXiv preprint arXiv:1407.8380},
year = {2015}
}
备注
This is the latest revision of the previously submitted article. Many parts of the paper have been rewritten or modified, more details and accurate discussions have been inserted and overall presentation has been improved