Message survival and decision dynamics in a class of reactive complex systems subject to external fields

Lucatero, Carlos Rodríguez; Schaum, Alexander; Ramos, L. Alarcon; Bernal-Jáquez, R.

doi:10.1016/j.physa.2014.03.024

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2018

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“…Future studies will consider generalizations of this approach to higher-dimensional node dynamics, multilayer networks [42,43], complex networks of agents [44,45] and analyzing the possibility of applying these kinds of control strategies for financial market models and decision dynamics [46][47][48].…”

Section: Discussionmentioning

confidence: 99%

Output-Feedback Control for Discrete-Time Spreading Models in Complex Networks

Ramos

Jaquez

Schaum

2018

Entropy

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Abstract:The problem of stabilizing the spreading process to a prescribed probability distribution over a complex network is considered, where the dynamics of the nodes in the network is given by discrete-time Markov-chain processes. Conditions for the positioning and identification of actuators and sensors are provided, and sufficient conditions for the exponential stability of the desired distribution are derived. Simulations results for a network of N = 10 6 corroborate our theoretical findings.

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