Almost-Sure Finite-Time Stochastic Min-Max Consensus

In this brief, a novel stochastic minimum-maximum finite-time consensus protocol is proposed. The stochastic consensus protocol is then applied to a system of agents with continuous high-order dynamics. Based on this protocol, new continuous auxiliary variables are defined, which use only samples of...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2023-09, Vol.70 (9), p.3509-3513
Main Authors: Lagos, Athanasios-Rafail, Psillakis, Haris E., Gkesoulis, Athanasios K.
Format: Article
Language:English
Subjects:
Consensus protocol
Continuity (mathematics)
Control theory
finite time consensus
Optimization
Regulation
Stochastic algorithm
Stochastic processes
Switches
Task analysis
Topology
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Summary:In this brief, a novel stochastic minimum-maximum finite-time consensus protocol is proposed. The stochastic consensus protocol is then applied to a system of agents with continuous high-order dynamics. Based on this protocol, new continuous auxiliary variables are defined, which use only samples of the neighbors' outputs. If those variables are regulated to zero in finite time, it is proven that finite-time output consensus is achieved. This regulation problem is then solved using a standard finite-time control law. Simulations are provided that illustrate the efficiency of this distributed finite-time control scheme.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3265567