Title
A linear matrix inequality-based extended dissipativity criteria for linear systems with additive time-varying delays
Abstract
In this paper, the problem of extended dissipativity performance has been investigated for a class of linear systems with additive time-varying delays. By constructing an appropriate Lyapunov Krasovskii functional (LKF) with triple and quadruple integral terms, a delay dependent extended dissipativity criterion which specifies H∞, dissipativity, passivity and l2−l∞ performance has been established. The obtained delay derivative dependent extended dissipativity results have been presented in terms of linear matrix inequalities (LMIs) which can be efficiently solved via some standard numerical softwares. Finally, some numerical examples are provided to verify the effectiveness of the presented results.
Year
DOI
Venue
2019
10.1016/j.ifacsc.2019.100070
IFAC Journal of Systems and Control
Keywords
DocType
Volume
Additive time-varying delays,Extended dissipativity,Finsler’s lemma,Linear matrix inequality,Lyapunov method
Journal
10
ISSN
Citations 
PageRank 
2468-6018
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Nagamani Gnaneswaran100.34
Young Hoon Joo273876.87
Han Sol Kim300.34