TY - GEN
T1 - The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators
AU - Abdulghafor, Rawad
AU - Turaev, Sherzod
AU - Zeki, Akram
AU - Shahidi, Farruh
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2016/1/12
Y1 - 2016/1/12
N2 - This paper proposed doubly stochastic quadratic operators (DSQOs) for a consensus problem in multi-Agent systems. The proposed scheme uses new nonlinear class model of family of quadratic stochastic operators (QSOs) for convergence consensus. The nonlinear model of QSOs plays an important role for reaching consensus. The nonlinear protocols for DSQOs are based on majorization theory. The paper investigates how the multi-Agent systems converge to the optimal values (center) by using DSQOs. The proposed nonlinear model of DSQOs will be compared with the linear model of DeGroot and the nonlinear model of QSOs. Furthermore, we will show that the convergence of DSQOs is superior than DeGroot linear model and low-complex than QSOs nonlinear model.
AB - This paper proposed doubly stochastic quadratic operators (DSQOs) for a consensus problem in multi-Agent systems. The proposed scheme uses new nonlinear class model of family of quadratic stochastic operators (QSOs) for convergence consensus. The nonlinear model of QSOs plays an important role for reaching consensus. The nonlinear protocols for DSQOs are based on majorization theory. The paper investigates how the multi-Agent systems converge to the optimal values (center) by using DSQOs. The proposed nonlinear model of DSQOs will be compared with the linear model of DeGroot and the nonlinear model of QSOs. Furthermore, we will show that the convergence of DSQOs is superior than DeGroot linear model and low-complex than QSOs nonlinear model.
KW - consensus problem
KW - convergence
KW - doubly stochastic quadratic operators
KW - multi-Agent systems
UR - http://www.scopus.com/inward/record.url?scp=84965167370&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84965167370&partnerID=8YFLogxK
U2 - 10.1109/ISAMSR.2015.7379131
DO - 10.1109/ISAMSR.2015.7379131
M3 - Conference contribution
AN - SCOPUS:84965167370
T3 - 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015
SP - 59
EP - 64
BT - 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1st International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015
Y2 - 18 August 2015 through 19 August 2015
ER -