Abstract and Applied Analysis

Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method

Qian Cao, Y. D. Song, Lei Wang, and Feng Yang

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Abstract

This paper investigates the consensus problem for multiagent systems with nonlinear dynamics and time delays. A distributed adaptive consensus protocol is proposed in which the time delays are explicitly included in the adaptive algorithm. It is shown that the resultant closed loop system involves doubly larger time delays, making the stability analysis nontrivial. Stability condition on maximum tolerable time delay is established and controlled by the proposed two-hop adaptive algorithm. The explicit expression of the delay margin is derived and analyzed in the frequency domain. Both the agent state errors and the estimation parameter errors converge to zero. A simulation example is illustrated to verify the theory results.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 792360, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606633

Digital Object Identifier
doi:10.1155/2014/792360

Mathematical Reviews number (MathSciNet)
MR3214453

Zentralblatt MATH identifier
07023080

Citation

Cao, Qian; Song, Y. D.; Wang, Lei; Yang, Feng. Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method. Abstr. Appl. Anal. 2014 (2014), Article ID 792360, 6 pages. doi:10.1155/2014/792360. https://projecteuclid.org/euclid.aaa/1412606633


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