Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
- 28 June 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 55 (10), 2396-2401
- https://doi.org/10.1109/tac.2010.2054770
Abstract
In this note, the consensus problem with infinite time-varying delays for linearly coupled static network is investigated. The delay affects only the off-diagonal terms in continuous-time equations. At first, we define an effective consensus ability index. Then, by using the graph theory and a new concept of consensus, we prove that under some mild conditions, the network can realize consensus. An example is given to show the validity of obtained results.Keywords
This publication has 28 references indexed in Scilit:
- Consensus problem in directed networks of multi-agents via nonlinear protocolsPhysics Letters A, 2009
- Convergence Speed of Unsteady Distributed Consensus: Decay Estimate Along the Settling Spanning-TreesSIAM Journal on Control and Optimization, 2009
- Tight estimates for convergence of some non-stationary consensus algorithmsSystems & Control Letters, 2008
- Application of semi-definite programming to robust stability of delay systemsApplied Mathematics and Computation, 2008
- Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying DelaysIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2007
- On the rate of convergence of distributed subgradient methods for multi-agent optimizationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2007
- Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraintsSystems & Control Letters, 2006
- Consensus Problems in Networks of Agents With Switching Topology and Time-DelaysIEEE Transactions on Automatic Control, 2004
- Stability of continuous-time distributed consensus algorithmsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2004
- Synchronization in an array of linearly coupled dynamical systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1995