%0 Journal Article
	%A M.J. Park and  K.H. Kim and  O.M. Kwon
	%D 2012
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 72, 2012
	%T Leader-following Consensus Criterion for Multi-agent Systems with Probabilistic Self-delay
	%U https://publications.waset.org/pdf/11546
	%V 72
	%X 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.

	%P 1713 - 1717