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Keywords
(9)
Common Value
Communication Delay
Continuous Time
Decision Problem
Differential Equation
Distributed Algorithm
Distributed Consensus
Linear Timevarying System
Uniform Exponential Stability
Related Publications
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Stability of continuoustime distributed consensus algorithms
Stability of continuoustime distributed consensus algorithms,10.1109/CDC.2004.1429377,Luc Moreau
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Stability of continuoustime distributed consensus algorithms
(
Citations: 130
)
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Luc Moreau
We study the stability properties of linear
timevarying systems
in
continuous time
whose system matrix is Metzler with zero row sums. This class of systems arises naturally in the context of distributed decision problems, coordination and rendezvous tasks and synchronization problems. The equilibrium set contains all states with identical state components. We present sufficient conditions guaranteeing
uniform exponential stability
of this equilibrium set, implying that all state components converge to a
common value
as time grows unbounded. Furthermore it is shown that this convergence result is robust with respect to an arbitrary delay, provided that the delay affects only the offdiagonal terms in the differential equation.
Conference:
Conference on Decision and Control  CDC
, vol. 4, pp. 39984003 Vol.4, 2004
DOI:
10.1109/CDC.2004.1429377
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Citation Context
(104)
...In Moreau and Belgium (
2004
), a sufficient condition was derived to ensure the networks with the timedependent communication patterns and a common time delay in communication between distinct agents to reach consensus asymptotically...
Yurong Liu
,
et al.
A new framework for consensus for discretetime directed networks of m...
...The authors in [
12
] showed that communication delays will not jeopardize the stability of the firstorder leaderless consensus algorithm under a directed network topology...
...Third, we show that the communication delay will not influence the stability of the firstorder system in the case of consensus tracking with partial access to the virtual leader, which extends the results of [
12
] and [17]...
Ziyang Meng
,
et al.
Leaderless and LeaderFollowing Consensus With Communication and Input...
...A1 = 0. This types of systems have been well characterized by Moreau [
40
]...
Federica Garin
,
et al.
A Survey on Distributed Estimation and Control Applications Using Line...
...The Partial difference Equation (PdE) framework is used in [29] to show that Laplacian control, analyzed in [
30
] and [31], coincides with the heat equation...
Paul Frihauf
,
et al.
LeaderEnabled Deployment Onto Planar Curves: A PDEBased Approach
...<{[SECTION]}>[
14
] Z. Sun and S. Ge, “Analysis and synthesis of switched linear control...
...Thus, in [
14
] and [38] the integral connectivity is proposed to study consensus problem...
...In [9], [10], [
14
], [33], is assumed piecewise continuous, in addition the entries of the weighted adjacency matrix are with a uniformly lower bound above zero, i.e., . One also finds in some literature that some constraints were applied on the time axis...
...In [10], [
14
], [29] the time axis is partitioned into time intervals such that is continuous on each interval...
...In [10], [29] it is assumed that the interval lengths are with uniformly lower bound above zero, i.e., , for all . In [
14
] the interval lengths are equal to a constant...
Li Cao
,
et al.
A Necessary and Sufficient Condition for Consensus of ContinuousTime ...
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Conference on Decision and Control  CDC
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Sort by:
Citations
(130)
A new framework for consensus for discretetime directed networks of multiagents with distributed delays
Yurong Liu
,
Daniel W. C. Ho
,
Zidong Wang
Journal:
International Journal of Control  INT J CONTR
, vol. aheadofp, no. aheadofp, pp. 111, 2012
Leaderless and LeaderFollowing Consensus With Communication and Input Delays Under a Directed Network Topology
(
Citations: 3
)
Ziyang Meng
,
Wei Ren
,
Yongcan Cao
,
Zheng You
Journal:
IEEE Transactions on Systems, Man, and Cybernetics  TSMC
, vol. 41, no. 1, pp. 7588, 2011
A Survey on Distributed Estimation and Control Applications Using Linear Consensus Algorithms
(
Citations: 1
)
Federica Garin
,
Luca Schenato
Published in 2011.
Convergence of typesymmetric and cutbalanced consensus seeking systems
Julien M. Hendrickx
,
John N. Tsitsiklis
Journal:
Computing Research Repository  CORR
, vol. abs/1102.2, 2011
LeaderEnabled Deployment Onto Planar Curves: A PDEBased Approach
Paul Frihauf
,
Miroslav Krstic
Journal:
IEEE Transactions on Automatic Control  IEEE TRANS AUTOMAT CONTR
, vol. 56, no. 8, pp. 17911806, 2011