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Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays.

Authors :
Chen, Wenbin
Lu, Junwei
Zhuang, Guangming
Gao, Fang
Zhang, Zhengqiang
Xu, Shengyuan
Source :
Applied Mathematics & Computation. May2022, Vol. 420, pN.PAG-N.PAG. 1p.
Publication Year :
2022

Abstract

• The mean-square exponentially admissibility and stabilization for NSMJSs with mixed interval time-varying delays are fully considered by state decomposition approach. • Proposed criteria are established with fewer decision variables and lower computing costs. • The derived results are less conservative than the existing ones. This paper focuses on the mean-square exponentially (ME) admissibility and stabilization for neutral singular Markovian jump systems (NSMJSs) with mixed interval time-varying delays. With the aid of state decomposition approach, a state decomposition Lyapunov-Krasovskii functional (LKF) is founded and some mode-dependent conditions are given to guarantee the unforced NSMJSs to be ME admissible. On this basis, a mode-dependent state feedback controller is presented. By solving the decomposition components of state feedback control parameters, the designed state feedback controller is obtained. It should be pointed out that our results complement and improve the results of the existing literatures. By two number-based examples, the advantage and availability of our methods are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
420
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
154947164
Full Text :
https://doi.org/10.1016/j.amc.2021.126884