Synchronization of Interconnected Boolean Networks With Stochastic Function Perturbations | IEEE Conference Publication | IEEE Xplore

Synchronization of Interconnected Boolean Networks With Stochastic Function Perturbations


Abstract:

In this paper, synchronization of interconnected Boolean networks subject to stochastic function perturbations is investigated by resorting to the semi-tensor product tec...Show More

Abstract:

In this paper, synchronization of interconnected Boolean networks subject to stochastic function perturbations is investigated by resorting to the semi-tensor product technique. First, the concept of stochastic function perturbations for interconnected Boolean networks is introduced base on the algebraic state space representation. Then, by constructing a transition probability matrix, a necessary and sufficient condition is obtained assuring the synchronization of the interconnected Boolean networks under stochastic function perturbations. Subsequently, the synchronization of interconnected Boolean networks with positive probability is further studied, and an algebraic synchronization criterion is established. Finally, a numerical example is employed to illustrate the efficiency of the obtained theoretical results.
Date of Conference: 19-21 August 2019
Date Added to IEEE Xplore: 05 December 2019
ISBN Information:
Conference Location: Hong Kong, China

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