Please use this identifier to cite or link to this item: https://doi.org/10.1137/070685610
Title: Decentralized adaptive synchronization of a stochastic discrete-time multiagent dynamic model
Authors: Ma, H.-B. 
Keywords: Adaptive control
Complex system
Coupling uncertainties
Decentralized adaptive synchronization
Discrete-time stochastic model
Leastsquares algorithm
Network dynamics
Issue Date: 2009
Citation: Ma, H.-B. (2009). Decentralized adaptive synchronization of a stochastic discrete-time multiagent dynamic model. SIAM Journal on Control and Optimization 48 (2) : 859-880. ScholarBank@NUS Repository. https://doi.org/10.1137/070685610
Abstract: A decentralized adaptive synchronization problem for a simple yet nontrivial discretetime stochastic model of network dynamics is investigated, which also illustrates a general framework for a class of adaptive control problems for complex systems with uncertainties. To describe synchronization phenomena in noisy environments, several new definitions of synchronization for stochastic systems are given and applied in our model. In the framework proposed, we prove that in four different cases on local goals, including "deterministic tracking," "center-oriented tracking," "loose tracking," and "tight tracking," under mild conditions on noise sequence and communication limits, the agents in the considered model can achieve global synchronization in sense of mean by using local estimators and controllers based on a least-squares (LS) algorithm. These results show that agents in a complex system disturbed by noise with communication limits can autonomously achieve the global goal of synchronization by using local LS-based adaptive controllers while they are pursuing for their local goals. © 2009 Society for Industriai and Applied Mathematics.
Source Title: SIAM Journal on Control and Optimization
URI: http://scholarbank.nus.edu.sg/handle/10635/115663
ISSN: 03630129
DOI: 10.1137/070685610
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