title: Impulsive synchronization of Markovian jumping randomly coupled neural networks with partly unknown transition probabilities via multiple integral approach.
abstract: This paper studies the impulsive synchronization of Markovian jumping randomly coupled neural networks with partly unknown transition probabilities via multiple integral approach. The array of neural networks are coupled in a random fashion which is governed by Bernoulli random variable. The aim of this paper is to obtain the synchronization criteria, which is suitable for both exactly known and partly unknown transition probabilities such that the coupled neural network is synchronized with mixed time-delay. The considered impulsive effects can be synchronized at partly unknown transition probabilities. Besides, a multiple integral approach is also proposed to strengthen the Markovian jumping randomly coupled neural networks with partly unknown transition probabilities. By making use of Kronecker product and some useful integral inequalities, a novel Lyapunov-Krasovskii functional was designed for handling the coupled neural network with mixed delay and then impulsive synchronization criteria are solvable in a set of linear matrix inequalities. Finally, numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamilnadu, India. Electronic address: chandru7389@gmail.com.
authors.forename: A
authors.initials: A
authors.lastname: Chandrasekar
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamilnadu, India. Electronic address: rakkigru@gmail.com.
authors.forename: R
authors.initials: R
authors.lastname: Rakkiyappan
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: jdcao@seu.edu.cn.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
mesh_terms: D000465:Algorithms; D008390:Markov Chains; D016571:Neural Networks, Computer; D011336:Probability
keywords: Coupled neural networks; Impulsive; Multiple integral approach; Partly unknown transition probability; Synchronization