Topics in matrix analysis
Flocks, herds and schools: A distributed behavioral model
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Automatica (Journal of IFAC)
Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach
SIAM Journal on Control and Optimization
Brief paper: On pinning synchronization of complex dynamical networks
Automatica (Journal of IFAC)
Distributed consensus filtering in sensor networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Automatica (Journal of IFAC)
Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Tracking control for multi-agent consensus with an active leader and variable topology
Automatica (Journal of IFAC)
Impulsive consensus algorithms for second-order multi-agent networks with sampled information
Automatica (Journal of IFAC)
Consensus of second-order multi-agent systems via impulsive control using sampled hetero-information
Automatica (Journal of IFAC)
Continuous-time and sampled-data-based average consensus with logarithmic quantizers
Automatica (Journal of IFAC)
Iterative Consensus for a Class of Second-order Multi-agent Systems
Journal of Intelligent and Robotic Systems
Hi-index | 22.15 |
This paper studies second-order consensus in multi-agent dynamical systems with sampled position data. A distributed linear consensus protocol with second-order dynamics is designed, where both the current and some sampled past position data are utilized. It is found that second-order consensus in such a multi-agent system cannot be reached without any sampled position data under the given protocol while it can be achieved by appropriately choosing the sampling period. A necessary and sufficient condition for reaching consensus of the system in this setting is established, based on which consensus regions are then characterized. It is shown that if all the eigenvalues of the Laplacian matrix are real, then second-order consensus in the multi-agent system can be reached for any sampling period except at some critical points depending on the spectrum of the Laplacian matrix. However, if there exists at least one eigenvalue of the Laplacian matrix with a nonzero imaginary part, second-order consensus cannot be reached for sufficiently small or sufficiently large sampling periods. In such cases, one nevertheless may be able to find some disconnected stable consensus regions determined by choosing appropriate sampling periods. Finally, simulation examples are given to verify and illustrate the theoretical analysis.