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Stochastic semistability with application to agreement problems over random networks | IEEE Conference Publication | IEEE Xplore

Stochastic semistability with application to agreement problems over random networks


Abstract:

In this paper, we consider the agreement problem of a group of agents with nonlinear stochastic dynamics and each agent applies a local (distributed) nonlinear consensus ...Show More

Abstract:

In this paper, we consider the agreement problem of a group of agents with nonlinear stochastic dynamics and each agent applies a local (distributed) nonlinear consensus protocol over random networks. We relate the almost sure consensus of agents under nonlinear consensus protocols to the stochastic semistability of nonlinear stochastic systems. We have proposed the notion of almost sure semistability for nonlinear systems with a continuum of equilibrium solutions, and have derived a set of Lyapunov sufficient conditions for almost sure semistability of nonlinear stochastic systems. The almost sure semistability results are then applied to the multi-agent nonlinear consensus problems over random networks.
Date of Conference: 30 June 2010 - 02 July 2010
Date Added to IEEE Xplore: 29 July 2010
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Conference Location: Baltimore, MD, USA

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