title: Dissipativity analysis of stochastic memristor-based recurrent neural networks with discrete and distributed time-varying delays.
abstract: In this paper, based on the knowledge of memristor-based recurrent neural networks (MRNNs), the model of the stochastic MRNNs with discrete and distributed delays is established. In real nervous systems and in the implementation of very large-scale integration (VLSI) circuits, noise is unavoidable, which leads to the stochastic model of the MRNNs. In this model, the delay interval is decomposed into two subintervals by using the tuning parameter α such that 0 < α < 1. By constructing proper Lyapunov-Krasovskii functional and employing direct delay decomposition technique, several sufficient conditions are given to guarantee the dissipativity and passivity of the stochastic MRNNs with discrete and distributed delays in the sense of Filippov solutions. Using the stochastic analysis theory and Itô's formula for stochastic differential equations, we establish sufficient conditions for dissipativity criterion. The dissipativity and passivity conditions are presented in terms of linear matrix inequalities, which can be easily solved by using Matlab Tools. Finally, three numerical examples with simulations are presented to demonstrate the effectiveness of the theoretical results.
authors.affiliation: a Department of Mathematics , Gandhigram Rural Institute - Deemed University , Gandhigram , Tamil Nadu , India.
authors.forename: Thirunavukkarasu
authors.initials: T
authors.lastname: Radhika
authors.affiliation: a Department of Mathematics , Gandhigram Rural Institute - Deemed University , Gandhigram , Tamil Nadu , India.
authors.forename: Gnaneswaran
authors.initials: G
authors.lastname: Nagamani
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D013997:Time Factors
keywords: Dissipativity; Filippov solution; linear matrix inequalities; memristor; stochastic neural networks