Finite-time stabilization for fractional-order inertial neural networks with time varying delays

This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs). Firstly, by correctly selected variable substitution, the system is transformed into a first-order fractional differential equation. Secondly, by building Lyapunov functionalities and using analytical techniques, as well as new control algorithms (which include the delay-dependent and delay-free controller), novel and effective criteria are established to attain the finite-time stabilization of the addressed system. Finally, two examples are used to illustrate the effectiveness and feasibility of the obtained results

Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure

summary:We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a $(\mu ,\nu )$-pseudo almost automorphic solution. The theory of this work generalizes the classical results on weighted pseudo almost automorphic functions. Finally, a numerical example is provided to illustrate the validity of the proposed theoretical results

(µ, ν)−pseudo almost automorphic solutions of neutral type Clifford-valued high-order Hopfield neural networks with D operator

International audienceThe aim of this article is to study neutral type Clifford-valued highorder Hopfield neural networks with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of (µ, ν)−pseudo almost automorphic solutions of the considered model via Banach's fixed point principle and differential inequality techniques. An example is given to show the effectiveness of the main new criteria. Keywords Clifford algebra • High-order Hopfield neural network • (µ, ν)−pseudo almost automorphic function • D operato

Sliding mode control based fixed-time stabilization and synchronization of inertial neural networks with time-varying delays

International audienceIn this article, we are interested in the Fixed-Time Stabilization (FTSt) and Fixed-Time Synchronization (FTSy) of a class of Inertial Neural Networks (INNs) with time-varying and distributed delays. To obtain FTSt and FTSy, sliding mode controllers are developed based on sliding mode control (SMC) techniques and by using sliding variables. Two polynomial feedback control laws are exploited to achieve the FTSt and the FTSy but they are singular. To get rid of the singularities, the saturation function is used into the design of the controllers and the almost FTSt and almost FTSy are proved. Finally, numerical examples are presented to show the effectiveness of the theoretical results

Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays

International audienceThis article deals with the finite time boundedness (FTB) and FTB-stabilization problem for a general class of neutral high-order Hopfield neural networks (NHOHNNs) with time delay in the leakage term and mixed time delays. The mixed time delays consist of both discrete time-varying delays and infinite distributed delays. By using the topological degree theory, sufficient conditions are established to prove the existence of equilibrium points. Then, the Lyapunov-Krasovskii functional (LKF) method is used to prove sufficient conditions for the FTB. These conditions are in the form of linear matrix inequalities (LMIs) and can be numerically checked. Furthermore, a state feedback control is constructed to solve the FTB-stabilization problem. Finally, some numerical examples are presented to show the effectiveness of our main results

Global dissipativity of fuzzy genetic regulatory networks with mixed delays

International audienceThe synthetic Genetic Regulatory Networks (GRNs) have proven to be a powerful tool in studying gene regulation processes in living organisms. In this article, the global dissipativity and corresponding attractive set for the Fuzzy Genetic Regulatory Networks (FGRNs) with mixed delays are investigated. By utilizing the Lyapunov functional method and the Linear Matrix Inequalities (LMIs) techniques, new sufficient conditions ensuring the global dissipativity and the global exponential dissipativity of the suggested system are given. Moreover, the global attractive set and global exponential attractive set are obtained. The derived criteria are of the form of LMI, and hence they can be verified easily by the numerical software. Lastly, two numerical examples with its simulations are given to illustrate the effectiveness of the obtained results

Fixed-time stabilization of fuzzy neutral-type inertial neural networks with time-varying delay

International audienceThis paper addresses the problem of fixed-time stabilization for a class of fuzzy neutral-type inertial neural networks (FNTINNs) with time-varying delay. By using a novel fixed-time stability theorem for dynamical systems, two different feedback control laws are designed to ensure the fixed-time stabilization of FNTINNs with time-varying delay. The proposed theoretical results can lead to a better upper settling-time estimation compared to existing results. Finally, three simulation examples are provided to illustrate the validity of the proposed theoretical results

Weighted pseudo almost-periodic solutions of shunting inhibitory cellular neural networks with mixed delays

In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.Web of Science3661682166