Article

Sarymsakov cubic stochastic matrices

Mansoor SaburovCollege of Engineering and Technology, American University of the Middle East, KuwaitKhikmat SaburovCollege of Engineering and Technology, American University of the Middle East, Kuwait

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2019en

ABI

Abstract

The class of Sarymsakov square stochastic matrices is the largest subset of the set of stochastic, indecomposable, aperiodic (SIA) matrices that is closed under matrix multiplication and any infinitely long left-product of the elements from any of its compact subsets converges to a rank-one (stable) matrix. In this paper, we introduce a new class of the so-called Sarymsakov cubic stochastic matrices and study the consensus problem in the multi-agent system in which an opinion sharing dynamics is presented by quadratic stochastic operators associated with Sarymsakov cubic stochastic matrices.

Topics

Opinion Dynamics and Social Influence Complex Network Analysis Techniques Distributed Control Multi-Agent Systems

Identifiers

DOI: 10.56017/2181-1318.1027

Citations and references

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