[PDF] Top 20 Robust Exponential Stability of Periodic Solutions for Static Recurrent Neural Networks with Delays

... artificial neural network have attracted the great interest of scientists and become one of the hotspots in the field of nonlinear ...artificial neural network is a nonlinear information processing system, ... See full document

... the stability of periodic solutions of static recurrent neural networks with impulsive ...delay static recurrent neural network affected by ...the ... See full document

... global robust exponential stability of ...of neural networks often fluctuate in time and it is cockamamie to analyze the existence and stability of periodic ... See full document

... almost periodic time scale, xi(t) and yj(t) denote the activations of the ith neuron and the jth neuron at time t; ai and bj represent the rate with which the ith neuron and the jth neuron will reset their ... See full document

... Motivated by the above discussions, we present a discrete analogue of continuous-time neural networks with variable coefficients and delays. Here the activation functions are not assumed to be bounded, ... See full document

... Neural networks (NNs) have been extensively studied in the past few years and have found many applications in different areas such as pattern recognition, associative memory, com- binatorial optimization, ... See full document

... and exponential stability of anti-periodic solutions of neural networks, especially for neural networks with leakage ...anti-periodic solutions can be ... See full document

... (BAM) neural networks due to their potential application prospect in many dis- ciplines such as pattern recognition, automatic control engineering, optimization prob- lems, image processing, speed detection ... See full document

... Dependent Robust Stability Analysis for Switched Neu- tral-Type Neural Networks with Time-Varying Delays via SC Technique,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: ... See full document

... of neural networks has greatly attracted the attention of the scientific community because of their promising potential for the tasks of classification, associative memory, and parallel computations, and ... See full document

... memory neural networks (BAM) models were first intro- duced by Kosko ...of recurrent neural networks that can store bipolar vector ...BAM neural network is composed of neurons ... See full document

... Time delays are often encountered in various practical systems such as chemical processes, neural networks, and long transmission lines in pneumatic ...time delays may lead to oscillations, ... See full document

... p-exponential stability of periodic solutions for a class of stochastic shunting inhibitory cellular neural networks (SICNNs) with distributed ... See full document

... most periodic functions and almost automorphic ...and stability of almost automorphic and pseudo almost automorphic solutions are the most attractive topics in qualitative theory of differential ... See full document

... cellular neural networks (HCNNs) model with time-varying delays in the leakage ...and exponential stability of anti-periodic solutions for the ... See full document

... The organization of this paper is as follows. In Section 2, we introduce some notations and definitions, and state some preliminary results needed in later sections. We then study, in Section 3, the existence of ... See full document

... The rest of this paper is organized as follows: prelimi- naries are given in Section 2. Sufficient conditions which guarantee the existence and global exponential stability of periodic ... See full document

... and stability of the equi- librium point, periodic and almost periodic solutions of SICNNs with time-varying delays in the ...and neural networks dynamics (see Gopalsamy ... See full document

... Cohen-Grossberg neural networks [] due to their potential applications in var- ious fields such as neural biology, pattern recognition, classification of patterns, parallel computation and so on ... See full document

... Proof In order to use Lemma 3.1 establishing the existence of positive almost periodic solutions of (1.1), we set Banach space X and Z the same as those in Lemma 3.2 and set mappings L, N, P, Q the same as ... See full document