Stochastic semistability with application to agreement problems over random networks

Jing Zhou; Qian Wang

Stochastic semistability with application to agreement problems over random networks

Jing Zhou, Qian Wang

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Scopus citations

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.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	568-573
Number of pages	6
State	Published - Oct 15 2010
Event	2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Other

Other	2010 American Control Conference, ACC 2010
Country/Territory	United States
City	Baltimore, MD
Period	6/30/10 → 7/2/10

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Cite this

@inproceedings{1176985c9c3c47559fc19e8a2f66c52e,

title = "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 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.",

author = "Jing Zhou and Qian Wang",

year = "2010",

month = oct,

day = "15",

language = "English (US)",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

pages = "568--573",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

note = "2010 American Control Conference, ACC 2010 ; Conference date: 30-06-2010 Through 02-07-2010",

}

TY - GEN

T1 - Stochastic semistability with application to agreement problems over random networks

AU - Zhou, Jing

AU - Wang, Qian

PY - 2010/10/15

Y1 - 2010/10/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77957808366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957808366&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77957808366

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 568

EP - 573

BT - Proceedings of the 2010 American Control Conference, ACC 2010

T2 - 2010 American Control Conference, ACC 2010

Y2 - 30 June 2010 through 2 July 2010

ER -

Stochastic semistability with application to agreement problems over random networks

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this