**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30004

##### Leader-following Consensus Criterion for Multi-agent Systems with Probabilistic Self-delay

**Authors:**
M.J. Park,
K.H. Kim,
O.M. Kwon

**Abstract:**

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical example showed that the proposed method is effective.

**Keywords:**
Multi-agent systems,
probabilistic self-delay,
consensus,
Lyapunov method,
LMI.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1077495

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