Caputo 分数阶微分方程的局部放大可观测性
最优化与控制
2019-03-26 v1
摘要
我们考虑涉及 Caputo 导数的分数阶演化微分方程的局部放大可观测性问题。利用 Hilbert 唯一性方法，我们表明仅在整个区域的一个内部子区域内，便可在两个给定函数之间重建初始状态。最后给出一个例子以阐明该理论。
引用
@article{arxiv.1807.01110,
title = {Regional enlarged observability of Caputo fractional differential equations},
author = {Hayat Zouiten and Ali Boutoulout and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1807.01110},
year = {2019}
}
备注
This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), available at [http://aimsciences.org/journal/1937-1632]. Paper Submitted 25-Apr-2018; Revised 01-July-2018; Accepted 03-July-2018