Title
Nonlinear consensus protocols with applications to quantized communication and actuation
Abstract
Nonlinearities are present in all real applications. Two types of general nonlinear consensus protocols are considered in this paper, namely, the systems with nonlinear communication and actuator constraints. The solutions of the systems are understood in the sense of Filippov to handle the possible discontinuity of the controllers. For each case, we prove the asymptotic stability of the systems with minimal assumptions on the nonlinearity, for both directed and undirected graphs. These results extend the literature to more general nonlinear dynamics and topologies. As applications of established theorems, we interpret the results on quantized consensus protocols.
Year
DOI
Venue
2019
10.1109/tcns.2018.2860461
IEEE Transactions on Control of Network Systems
Keywords
Field
DocType
Protocols,Topology,Actuators,Convergence,Asymptotic stability,Stability analysis
Topology,Graph,Nonlinear system,Control theory,Discontinuity (linguistics),Network topology,Exponential stability,Quantization (physics),Mathematics,Actuator
Journal
Citations 
PageRank 
References 
2
0.39
0
Authors
3
Name
Order
Citations
PageRank
Jieqiang Wei1216.28
Xinlei Yi220.39
Karl Henrik Johansson3716.31