.png){kind=icon}
返回
Integrability for Nonlinear Time-Delay Systems
.png){kind=icon}
OA
AI
DOI：10.1109/TAC.2015.2482003.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this note, the notion of integrability is defined for 1-forms defined in the time-delay context. While in the delay-free case, a set of 1-forms defines a vector space, it is shown that 1-forms computed for time-delay systems have to be viewed as elements of a module over a certain non-commutative polynomial ring. Two notions of integrability are defined, strong and weak integrability, which coincide in the delay-free case. Necessary and sufficient conditions are given to check if a set of 1-forms is strongly or weakly integrable. To show the importance of the topic, integrability of 1-forms is used to characterize the accessibility property for nonlinear time-delay systems. The possibility of transforming a system into a certain normal form is also considered.
Keyword:
Accessibility
algebraic methods
time-delay systems
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
机构
引用论文
分享收藏IRON AND MANGANESE IN ANAEROBIC RESPIRATION: Environmental Significance, Physiology, and Regulation
PREAI
分享收藏分享收藏Genetic ablation reveals that the roof plate is essential for dorsal interneuron specification.png)
Nature
NatureIF0
PREAI
分享收藏
查看更多内容