6533b86efe1ef96bd12cc92e
RESEARCH PRODUCT
New delay-dependent stability conditions for time-varying delay systems
Hamid Reza KarimiWei Qiansubject
CorrectnessArticle SubjectComputational complexity theoryComputer scienceGeneral Mathematicslcsh:MathematicsGeneral EngineeringStability (learning theory)lcsh:QA1-939Delay dependentStability conditionsControl theorylcsh:TA1-2040VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411lcsh:Engineering (General). Civil engineering (General)Algorithmdescription
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/360924 Open Access This paper addresses the delay-dependent stability for systems with time-varying delay. First, by taking multi-integral terms into consideration, new Lyapunov-Krasovskii functional is defined. Second, in order to reduce the computational complexity of the main results, reciprocally convex approach and some special transformations are introduced, and new delay-dependent stability criteria are proposed, which are less conservative and have less decision variables than some previous results. Finally, two well-known examples are given to illustrate the correctness and advantage of our theoretical results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |