Abstract

This paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

Details

Title
New delay-dependent observer-based control for uncertain stochastic time-delay systems
Author
Xiu-feng Miao 1   VIAFID ORCID Logo  ; Long-suo, Li 2 

1  School of Basic Science, Harbin University of Commerce, Harbin, China 
2  Department of Mathematics, Harbin Institute of Technology, Harbin, China 
Pages
1-14
Publication year
2019
Publication date
Nov 2019
Publisher
Springer Nature B.V.
ISSN
10255834
e-ISSN
1029242X
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13660-019-2241-1
ProQuest document ID
2315414767
Copyright
Journal of Inequalities and Applications is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.