TY - GEN
T1 - Decentralized adaptive synchronization of a stochastic discrete-time multiagent dynamic model
AU - Ma, Hongbin
PY - 2009
Y1 - 2009
N2 - A decentralized adaptive synchronization problem for a simple yet nontrivial discrete-time 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. Within this framework, 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.
AB - A decentralized adaptive synchronization problem for a simple yet nontrivial discrete-time 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. Within this framework, 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.
KW - Adaptive control
KW - Complex system
KW - Coupling uncertainties
KW - Decentralized adaptive synchronization
KW - Discrete-time stochastic model
KW - Least-squares algorithm
KW - Network dynamics
UR - https://www.scopus.com/pages/publications/77950836050
U2 - 10.1109/CDC.2009.5400255
DO - 10.1109/CDC.2009.5400255
M3 - Conference contribution
AN - SCOPUS:77950836050
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2628
EP - 2633
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -