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Entropy 2018, 20(3), 204; https://doi.org/10.3390/e20030204

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.
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)
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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. 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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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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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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