Alarcón Ramos Luis A, Bernal Jaquez Roberto, Schaum Alexander
Posgrado en Ciencias Naturales e Ingeniería, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico-City 05348, Mexico.
Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico-City 05348, Mexico.
Entropy (Basel). 2018 Mar 19;20(3):204. doi: 10.3390/e20030204.
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.
考虑了在复杂网络上将传播过程稳定到规定概率分布的问题，其中网络中节点的动态由离散时间马尔可夫链过程给出。提供了执行器和传感器的定位与识别条件，并推导了期望分布指数稳定性的充分条件。N = 10^6的网络的仿真结果证实了我们的理论发现。
