Stability and global dissipativity for neutral-type fuzzy genetic regulatory networks with mixed delays

In this article, the stability and global dissipativity for neutral-type fuzzy genetic regulatory networks (FGRNs) with mixed time delays are investigated. By using Lyapunov functional method and linear matrix inequalities (LMIs) techniques, new sufficient conditions ensuring the stability and global dissipativity of the considered system are given. Moreover, the globally attractive set and positive invariant set are also presented here. The derived criteria are of the form of LMI and they can be checked by the numerically effect Matlab LMI toolbox. Lastly, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results. The derived results of this article are new and complement many earlier works and the ideas of this work can be applied to investigate other similar systems.Scopu

Global dissipativity of high-order Hopfield bidirectional associative memory neural networks with mixed delays

In this paper, the problem of the global dissipativity of high-order Hopfield bidirectional associative memory neural networks with time-varying coefficients and distributed delays is discussed. By using Lyapunov?Krasovskii functional method, inequality techniques and linear matrix inequalities, a novel set of sufficient conditions for global dissipativity and global exponential dissipativity for the addressed system is developed. Further, the estimations of the positive invariant set, globally attractive set and globally exponentially attractive set are found. Finally, two examples with numerical simulations are provided to support the feasibility of the theoretical findings.Scopu

Global dissipativity of fuzzy bidirectional associative memory neural networks with proportional delays

This article aimed to investigate the problem of global dissipativity of Fuzzy Bidirectional Associative Memory Neural Networks (FBAMNNs- for short) with proportional delays. Via Lyapunov Functionals (LFs- for short) and Linear Matrix Inequality (LMI- for short) approach, we obtained new sufficient conditions to guarantee the global dissipativity and global exponential dissipativity of the proposed model. In addition, two different types of activation functions are considered, including general bounded and Lipschitz-type activation functions. Moreover, the globally attractive and globally exponentially attractive sets are presented. Lastly, two numerical examples are given to illustrate the effectiveness of the developed results.Scopu

Global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays

This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results.Scopu

Dissipativity Analysis of a Class of Competitive Neural Networks with Proportional Delays

This paper dealt with the dissipativity problem for a class of competitive neural networks with proportional delays. Based on Lyapunov functionals approach, new sufficient conditions are derived to ensuring the strictly $$(Q,\; S^{*},\; R)-$$ dissipative of the model. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be easily numerically checked by the MATLAB LMI toolbox. At last, a numerical example with simulation is given to illustrate the validity of the obtained theoretical results.Scopu