Nonlinear convergence algorithm: structural properties with doubly stochastic quadratic operators for multi-agent systems

• Autorzy: Abdulghafor R. , Turaev S. , Zeki A. , Abubaker A.

Identyfikatory

DOI

10.1515/jaiscr-2018-0003

• Języki publikacji: EN

Abstrakty

EN

This paper proposes nonlinear operator of extreme doubly stochastic quadratic operator (EDSQO) for convergence algorithm aimed at solving consensus problem (CP) of discrete-time for multi-agent systems (MAS) on n-dimensional simplex. The first part undertakes systematic review of consensus problems. Convergence was generated via extreme doubly stochastic quadratic operators (EDSQOs) in the other part. However, this work was able to formulate convergence algorithms from doubly stochastic matrices, majorization theory, graph theory and stochastic analysis. We develop two algorithms: 1) the nonlinear algorithm of extreme doubly stochastic quadratic operator (NLAEDSQO) to generate all the convergent EDSQOs and 2) the nonlinear convergence algorithm (NLCA) of EDSQOs to investigate the optimal consensus for MAS. Experimental evaluation on convergent of EDSQOs yielded an optimal consensus for MAS. Comparative analysis with the convergence of EDSQOs and DeGroot model were carried out. The comparison was based on the complexity of operators, number of iterations to converge and the time required for convergences. This research proposed algorithm on convergence which is faster than the DeGroot linear model.

Słowa kluczowe

EN

doubly stochastic quadratic operators; nonlinear convergence algorithm; consensus problem; multi-agent systems

PL

kwadratowe operatory podwójnie stochastyczne; problem konsensusu; systemy wieloagentowe

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2018
• Tom: Vol. 8, No. 1
• Strony: 49--61
• Opis fizyczny: Bibliogr. 42, poz., rys.

Twórcy

autor

Abdulghafor R.

• Collage of Information and Communication Technology,International Islamic University Malaysia, 53100, Kuala Lumpur, Malaysia

autor

Turaev S.

• Collage of Information and Communication Technology,International Islamic University Malaysia, 53100, Kuala Lumpur, Malaysia

autor

Zeki A.

• Collage of Information and Communication Technology,International Islamic University Malaysia, 53100, Kuala Lumpur, Malaysia

autor

Abubaker A.

• Collage of Information and Communication Technology,International Islamic University Malaysia, 53100, Kuala Lumpur, Malaysia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).