English

Existence of an observation window of finite width for continuous-time autonomous nonlinear systems

Optimization and Control 2018-04-19 v2

Abstract

In this paper, the relationship between notions of observability for continuous-time nonlinear system related to distinguishability, observability rank condition and K-function has been investigated. It is proved that an autonomous nonlinear system that is observable in both distinguishability and rank condition sense permits an observation window of finite width, and it is possible to construct a K-function related to observability for such system.

Keywords

Cite

@article{arxiv.1505.05970,
  title  = {Existence of an observation window of finite width for continuous-time autonomous nonlinear systems},
  author = {Shigeru Hanba},
  journal= {arXiv preprint arXiv:1505.05970},
  year   = {2018}
}

Comments

This work was supported by the Japan Society for the Promotion of Science under Grant-in-Aid for Scientific Research (C) 23560535. Copyright 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/