Applications of quadratic stochastic operators to nonlinear consensus problems

DOI10.1007/s10958-024-06947-yOpenAlexW4391401494WikidataQ128936343 ScholiaQ128936343MaRDI QIDQ6154854

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Publication date: 16 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06947-y

zbMATH Keywords

quadratic stochastic operatornonlinear consensus problem

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multi-agent systems (93A16) Consensus (93D50)

Cites Work

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• Non-ergodicity of uniform quadratic stochastic operators
• Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains
• On the surjectivity of quadratic stochastic operators acting on the simplex
• Markov chains, Gauss soups, and compromise dynamics
• Positive dynamical systems in discrete time. Theory, models and applications
• Quantum quadratic operators and processes
• On the mixing property and the ergodic principle for nonhomogeneous Markov chains
• On regularity of diagonally positive quadratic doubly stochastic operators
• Analytic methods in the theory of quadric stochastic operators
• Compromise, consensus, and the iteration of means
• Opinion dynamics driven by various ways of averaging
• Non-negative matrices and Markov chains. 2nd ed
• On the equiprobable strictly non-Volterra quadratic stochastic operators
• On regularity of positive quadratic doubly stochastic operators
• Reaching consensus via polynomial stochastic operators: A general study
• On \(l\)-Volterra quadratic stochastic operators
• Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space
• On the ergodic principle for Markov and quadratic stochastic processes and its relations
• \(F\)-quadratic stochastic operators
• Ergodicity of nonlinear Markov operators on the finite dimensional space
• Reaching a consensus: a discrete nonlinear time-varying case
• Product of Random Stochastic Matrices
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS
• Distributed asynchronous deterministic and stochastic gradient optimization algorithms
• A Necessary and Sufficient Condition for Reaching a Consensus Using DeGroot's Method
• Quadratic transformations: a model for population growth. I
• Towards consensus: some convergence theorems on repeated averaging
• " The structure of the fixed point set of quadratic operators on the simplex"
• Mathematical Models of Nonlinear Uniform Consensus II
• Reaching a Consensus
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Stability of multiagent systems with time-dependent communication links
• Solution of a Mathematical Problem Connected with the Theory of Heredity
• The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex

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