The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators

Rawad Abdulghafor; Sherzod Turaev; Akram Zeki; Farruh Shahidi

doi:10.1109/ISAMSR.2015.7379131

The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators

Rawad Abdulghafor, Sherzod Turaev, Akram Zeki, Farruh Shahidi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	59-64
Number of pages	6
ISBN (Electronic)	9781509002788
DOIs	https://doi.org/10.1109/ISAMSR.2015.7379131
Publication status	Published - Jan 12 2016
Externally published	Yes
Event	1st International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015 - Putrajaya, Malaysia Duration: Aug 18 2015 → Aug 19 2015

Publication series

Name	2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015

Conference

Conference	1st International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015
Country/Territory	Malaysia
City	Putrajaya
Period	8/18/15 → 8/19/15

Keywords

consensus problem
convergence
doubly stochastic quadratic operators
multi-Agent systems

ASJC Scopus subject areas

Decision Sciences (miscellaneous)
Computer Science Applications
Artificial Intelligence

Access to Document

10.1109/ISAMSR.2015.7379131

Cite this

Abdulghafor, R., Turaev, S., Zeki, A., & Shahidi, F. (2016). The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators. In 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015 (pp. 59-64). Article 7379131 (2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISAMSR.2015.7379131

The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators. / Abdulghafor, Rawad; Turaev, Sherzod; Zeki, Akram et al.
2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 59-64 7379131 (2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abdulghafor, R, Turaev, S, Zeki, A & Shahidi, F 2016, The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators. in 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015., 7379131, 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015, Institute of Electrical and Electronics Engineers Inc., pp. 59-64, 1st International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015, Putrajaya, Malaysia, 8/18/15. https://doi.org/10.1109/ISAMSR.2015.7379131

Abdulghafor R, Turaev S, Zeki A, Shahidi F. The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators. In 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015. Institute of Electrical and Electronics Engineers Inc. 2016. p. 59-64. 7379131. (2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015). doi: 10.1109/ISAMSR.2015.7379131

Abdulghafor, Rawad ; Turaev, Sherzod ; Zeki, Akram et al. / The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators. 2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 59-64 (2015 International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015).

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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.

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The convergence consensus of multi-Agent systems controlled via doubly stochastic quadratic operators

Abstract

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Keywords

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