This paper deals with the consensus problem under communication network inducing delays. It is well-known that introducing a delay leads in general to a reduction of the performance or to instability due to the fact that timedelay systems are infinite dimensional. For instance, the set of initial conditions of a time-delay system is not a vector but a function taken in an interval. Therefore, investigating the effect of time-delays in the consensus problem is an important issue. In the present paper, we assume that each agent receives instantaneously its own state information but receives the state information from its neighbors after a constant delay. Two stability criteria are provided based on the frequency approach and on Lyapunov-Krasovskii techniques given in terms of LMI. An analytic expression of the consensus equilibrium which depends on the delay and on the initial conditions taken in an interval is derived. The efficiency of the method is tested for different network communication schemes. / <p>QC 20110120</p>
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-28520 |
| Date | January 2008 |
| Creators | Seuret, Alexandre, Dimarogonas, Dimos V., Johansson, Karl Henrik |
| Publisher | KTH, Reglerteknik, KTH, ACCESS Linnaeus Centre, KTH, Reglerteknik, KTH, ACCESS Linnaeus Centre, KTH, Reglerteknik, KTH, ACCESS Linnaeus Centre |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Conference paper, info:eu-repo/semantics/conferenceObject, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Proceedings of the IEEE Conference on Decision and Control, p. 4922-4927 |
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