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

Authors :: Alarcón Ramos LA
Bernal Jaquez R
Schaum A
Source :: Entropy (Basel, Switzerland) [Entropy (Basel)] 2018 Mar 19; Vol. 20 (3). Date of Electronic Publication: 2018 Mar 19.
Publication Year :: 2018
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.<br />Competing Interests: The authors declare no conflict of interest.