6533b834fe1ef96bd129ce61

RESEARCH PRODUCT

Networked Bio-Inspired Evolutionary Dynamics on a Multi-Population

Dario BausoWouter Baar

subject

0209 industrial biotechnologyTheoretical computer scienceComputer scienceMulti-agent system020208 electrical & electronic engineering02 engineering and technologyNetwork topologyGroup decision-making020901 industrial engineering & automationExponential stability0202 electrical engineering electronic engineering information engineeringGraph (abstract data type)Special caseEvolutionary dynamicsTopology (chemistry)

description

We consider a multi-population, represented by a network of groups of individuals. Every player of each group can choose between two options, and we study the problem of reaching consensus. The dynamics not only depend on the dynamics within the group, but they also depend on the topology of the network, so neighboring groups influence individuals as well. First, we develop a mathematical model of this networked bio-inspired evolutionary behavior and we study its steady-state. We look at the special case where the underlying network topology is a regular and unweighted graph and show that the steady-state is a consensus equilibrium. A sufficient condition for exponential stability is given. Finally, a related networked dynamical system with connections to the Bass model is studied and we conclude the paper with simulations.

yearjournalcountryeditionlanguage
2019-08-012019 18th European Control Conference (ECC)
https://doi.org/10.23919/ecc.2019.8795775