Title
Stability And Dissipativity Analysis For Uncertain Markovian Jump Systems With Random Delays Via New Approach
Abstract
This paper studies the problem of stability and dissipativity analysis for uncertain Markovian jump systems (UMJSs) with random time-varying delays. Based on the auxiliary function-based integral inequality (AFBII) and with the help of some mathematical tools, a new double integral inequality (NDII) is developed. Then, to show the efficiency of the proposed inequality, a suitable Lyapunov-Krasovskii functional (LKF) is constructed with augmented delay-dependent terms. By employing integral inequalities, new delay-dependent sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are given to show the effectiveness and less conservatism of the results.
Year
DOI
Venue
2019
10.1080/00207721.2019.1618942
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
Markovian jump systems, Lyapunov-Krasovskii functional, dissipativity analysis, random delays, integral inequalities
Control theory,Markovian jump,Auxiliary function,Mathematics
Journal
Volume
Issue
ISSN
50
8
0020-7721
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
R. Samidurai127515.47
R. Sriraman2214.67
Song Zhu314919.42