Model Of Memristive Neural Networks Research Articles

Aperiodic switching event-triggered stabilization of continuous memristive neural networks with interval delays

The stabilization problem is studied for memristive neural networks with interval delays under aperiodic switching event-triggered control. Note that, most of delayed memristive neural networks models studied are discontinuous, which are not the real memristive neural networks. First, a real model of memristive neural networks is proposed by continuous differential equations, furthermore, it is simplified to neural networks with interval matrix uncertainties. Secondly, an aperiodic switching event-trigger is given, and the considered system switches between aperiodic sampled-data system and continuous event-triggered system. Thirdly, by constructing a time-dependent piecewise-defined Lyapunov functional, the stability criterion and the feedback gain design are obtained by linear matrix inequalities. Compared with the existing results, the stability criterion is with lower conservatism. Finally, two neurons are taken as examples to ensure the feasibility of the results.

Synchronization of master-slave memristive neural networks via fuzzy output-based adaptive strategy

This paper considers the synchronization problem of memristive neural networks (MNNs) via a fuzzy output-based adaptive strategy, where the fuzzy model of MNNs with state-dependent memristor is employed. Several adaptive rules for the controller gain of the slave NNs and its connection weights are designed, which provide a new way to realize the state synchronization between master and slaver memristive NNs. Under these adaptive update rules, several synchronization results and their performance analysis are given, which verified by a simulation example.

A Memristive Neural Network Model With Associative Memory for Modeling Affections

Memristor is a nonlinear resistor with memory, which has the characteristics of neuron synapses and can be used to design a new generation of memristive neural networks. Based on the Pavlov associative memory, a novel memristive associative memory neural network model is designed by using the charge-controlled nanoscale HP memristor model as the electronic synapse. This model includes neurons, memristor synapses, and weighted input feedback learning rule. Based on the proposed memristive associative memory model, a memristor-based neural network structure for simulating human emotions is further designed. The emotion simulation takes into account the excitation and inhibition between different neurons, making it more bionic. In order to simulate the memristive neural network structure, a relatively simplified emotional simulation circuit is constructed, which effectively reduces the network complexity and circuit power consumption. Finally, PSPICE is used to simulate the circuit. The simulation results not only verify the correctness of the model but also achieve a simple simulation of human emotions, which is helpful for the further development of the artificial neural network in the field of artificial intelligence.

Impulsive Effects and Stability Analysis on Memristive Neural Networks With Variable Delays.

In this brief, hybrid impulsive and adaptive feedback controllers are simultaneously exerted on a general delayed memristive neural network (MNN) model to formulate a novel impulsive controlled MNN (IMNN) model with variable delays. By means of Lyapunov-Razumikhin technique and other analytical ways, several new stability criteria of the proposed IMNN model are obtained. In addition, by choosing appropriate impulses and external inputs, the convergence speed of IMNN can be increased, which implies that its dynamic behaviors will be optimized. Finally, the effectiveness of the obtained results is illustrated by one numerical example.

Exponential stabilization and synchronization for fuzzy model of memristive neural networks by periodically intermittent control

The problem of exponential stabilization and synchronization for fuzzy model of memristive neural networks (MNNs) is investigated by using periodically intermittent control in this paper. Based on the knowledge of memristor and recurrent neural network, the model of MNNs is formulated. Some novel and useful stabilization criteria and synchronization conditions are then derived by using the Lyapunov functional and differential inequality techniques. It is worth noting that the methods used in this paper are also applied to fuzzy model for complex networks and general neural networks. Numerical simulations are also provided to verify the effectiveness of theoretical results.

Global exponential stability of memristive neural networks with impulse time window and time-varying delays

A generalized model of memristive neural networks with time-varying delays and impulse time window is considered. By utilizing Lyapunov stability theory, we establish several sufficient conditions for global exponential stability and formulate a relationship between the exponential convergence rate and the impulse parameters including window position, window radius as well as impulse strength. Numerical example is also presented to verify the effectiveness of the theoretical results.

Exponential Adaptive Lag Synchronization of Memristive Neural Networks via Fuzzy Method and Applications in Pseudorandom Number Generators

This paper investigates the problem of exponential lag synchronization control of memristive neural networks (MNNs) via the fuzzy method and applications in pseudorandom number generators. Based on the knowledge of memristor and recurrent neural networks, the model of MNNs is established. Then, considering the state-dependent properties of memristor, a fuzzy model of MNNs is employed to provide a new way of analyzing the complicated MNNs with only two subsystems, and update laws for the connection weights of slave systems and controller gain are designed to make the slave systems exponentially lag synchronized with the master systems. Two examples about synchronization problems are presented to show the effectiveness of the obtained results, and an application of the obtained theory is also given in the pseudorandom number generator.