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Open AccessArticle

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

1
Posgrado en Ciencias Naturales e Ingeniería, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico-City 05348, Mexico
2
Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico-City 05348, Mexico
3
Chair of automatic control, Kiel-University, Kiel 24143, Germany
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(3), 204; https://doi.org/10.3390/e20030204
Received: 3 February 2018 / Revised: 6 March 2018 / Accepted: 7 March 2018 / Published: 19 March 2018
(This article belongs to the Special Issue Research Frontier in Chaos Theory and Complex Networks)
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. View Full-Text
Keywords: complex networks; discrete-time Markov-chain spreading models; feedback control complex networks; discrete-time Markov-chain spreading models; feedback control
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Alarcón Ramos, L.A.; Bernal Jaquez, R.; Schaum, A. Output-Feedback Control for Discrete-Time Spreading Models in Complex Networks. Entropy 2018, 20, 204.

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