The nonlinear limit control of EDSQOs on finite dimensional simplex

Rawad Abdulghafor, Shahrum Shah Abdullah, Sherzod Turaev, Raini Hassan

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


Consensus problems in multi agent systems (MAS) are theoretical aspect convergence of doubly stochastic quadratic operators. This work has presented the dynamic classifications of extreme doubly stochastic quadratic operators (EDSQOs) on finite-dimensional simplex (FDS) based on the limit behaviour of the trajectories. The limit behaviour of the trajectories of EDSQOs, on FDS is either in state of convergence, or fixed or periodic. This paper aimed at examining the behaviour of these states. The paper modelled the states and proves theoretically the characteristics of each state. The results indicate that convergence operators converge to the centre (Formula presented.), and EDSQOs point are fixed with two or more points whereas periodic states exhibit sinusoidal behaviour. This work has contributed in understanding the limit of EDSQOs of the exterior initial points as fixed and periodic points developed spread attribute toward a fixed point.

Original languageEnglish
Pages (from-to)404-412
Number of pages9
Issue number4
Publication statusPublished - Oct 2 2019
Externally publishedYes


  • Dynamic classifications
  • convergence
  • extreme doubly stochastic quadratic operators
  • finite-dimensional simplex
  • fixed
  • periodic

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science


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