Consensus Analysis of Nonlinear Dynamical Multi-Agent Systems by Relative Lyapunov Function Method

Hai Ying Ma; Ning Cai

doi:10.4028/www.scientific.net/AMR.482-484.1969

Paper Titles

DEM Simulation on Tribological Behaviour of Third-Body Interface with Different Shear Elastic Modulus
p.1951

Experiment on Deformation Process of Magnetic Fluid Coated Inside Orthogonal Ducting
p.1955

Preparation and Mechanical Properties of Lignin/Epoxy Resin Composites
p.1959

Study on Warship Combat System Design Using DMOPSO Algorithm
p.1963

Consensus Analysis of Nonlinear Dynamical Multi-Agent Systems by Relative Lyapunov Function Method
p.1969

Approach to Detect and Control Gap-Width with Peak Current in Pulse ECM
p.1973

A New Design Method of Body-in-White Lightweight Considering NVH Performance
p.1979

Induction Motor Direct Torque Control Based on Multiple Neural Networks Optimized by Genetic Algorithm
p.1985

Instantaneous Flow Characteristics for General Gear Flow-Meter
p.1990

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 482-484Consensus Analysis of Nonlinear Dynamical...

Consensus Analysis of Nonlinear Dynamical Multi-Agent Systems by Relative Lyapunov Function Method

Abstract:

In this note, condition for consensus of general nonlinear high-order multi-agent systems is analyzed based on the idea of space transformation. Consensus can be assured by sufficient connection of network and the dissipative property of the entire system regulated by relative Lyapunov function, with two independent variables.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 482-484)

Pages:

1969-1972

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.482-484.1969

Citation:

Cite this paper

Online since:

February 2012

Authors:

Hai Ying Ma, Ning Cai

Keywords:

Agent, Consensus, Network, Relative Lyapunov Function

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] R. Olfati-Saber, R.M. Murray, "Consensus Problems in Networks of Agents With Switching Topology and Time-Delays ", IEEE Trans. Automat. Control, 2004, 49: 1520-1533.

DOI: 10.1109/tac.2004.834113

Google Scholar

[2] W. Ren, R.W. Beard, "Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies ", IEEE Trans. Automat. Control., 2005, 50: 655-661.

DOI: 10.1109/tac.2005.846556

Google Scholar

[3] L. Moreau, "Stability of Multiagent Systems With Time-Dependent Communication Links", IEEE Trans. Automat. Control, 2005, 50: 169-182.

DOI: 10.1109/tac.2004.841888

Google Scholar

[4] F. Xiao, L. Wang, "Consensus problems for high-dimensional multi-agent systems", IET Control Theory Appl., 2007, 1: 830-837.

DOI: 10.1049/iet-cta:20060014

Google Scholar

[5] J. Wang, D. Cheng, & X. Hu, "Consensus of multi-agent linear dynamic systems", Asian J. Control, 2008, 10: 144-155.

DOI: 10.1002/asjc.15

Google Scholar

[6] N. Cai, J.-X. Xi, & Y.-S. Zhong, "Swarm stability of high order Linear Time-Invariant swarm systems", IET Control Theory Appl., 2011, 5: 402-408.

DOI: 10.1049/iet-cta.2009.0589

Google Scholar

[7] N. Cai, J.-X. Xi, & Y.-S. Zhong, "Asymptotic swarm stability of high order dynamical multi-agent systems: condition and application", Control and Intelligent Systems, 2012, 40(1), in press.

DOI: 10.2316/journal.201.2012.1.201-2314

Google Scholar

[8] N. Cai, "Swarm stability and controllability of high-order swarm systems", Ph.D. Dissertation, 2010, Tsinghua University.

Google Scholar

[9] Z. Li, Z. Duan, & L. Huang, Consensus of multi-agent systems and synchronization of complex networks: A unified viewpoint, IEEE Trans. Circuit Syst.-I, 2010, 57: 213-224.

DOI: 10.1109/tcsi.2009.2023937

Google Scholar

[10] J.J. Silveira, A.L. Esp'ndolab & T.J.P. Pennab, "Agent-based model to rural-urban migration analysis", Physica A, 2006, 364: 445-456.

Google Scholar

[11] S.H. Strogatz, "From Kuramoto to Crawford: Exploring the Onset of Synchronization in Populations of Coupled Oscillators ", Physica D, 2000, 143: 1-20.

DOI: 10.1016/s0167-2789(00)00094-4

Google Scholar