State estimation for jumping recurrent neural networks with discrete and distributed delays

Authors:
Zidong Wang;Yurong Liu;Xiaohui Liu
Affiliations:
Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK;Department of Mathematics, Yangzhou University, Yangzhou 225002, PR China;Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
Venue:
Neural Networks
Year:
2009

Citing 13
Cited 41

Results concerning the absolute stability of delayed neural networks

Neural Networks
On global asymptotic stability of recurrent neural networks with time-varying delays

Applied Mathematics and Computation
Global asymptotic stability of Hopfield neural network involving distributed delays

Neural Networks
Global exponential stability of generalized recurrent neural networks with discrete and distributed delays

Neural Networks
Parameter-dependent robust stability of uncertain time-delay systems

Journal of Computational and Applied Mathematics
A new delay system approach to network-based control

Automatica (Journal of IFAC)
Finite state automata and simple recurrent networks

Neural Computation
The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction

Neural Computation
Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Markovian architectural bias of recurrent neural networks

IEEE Transactions on Neural Networks
State estimation for delayed neural networks

IEEE Transactions on Neural Networks
Radial basis function neural network for approximation and estimation of nonlinear stochastic dynamic systems

IEEE Transactions on Neural Networks
How delays affect neural dynamics and learning

IEEE Transactions on Neural Networks

Design of controller on synchronization of chaotic neural networks with mixed time-varying delays

Neurocomputing
Letters: Exponential stability of hybrid stochastic neural networks with mixed time delays and nonlinearity

Neurocomputing
Neural networks letter: New passivity criteria for neural networks with time-varying delay

Neural Networks
A scaling parameter approach to delay-dependent state estimation of delayed neural networks

IEEE Transactions on Circuits and Systems II: Express Briefs
Simple zero singularity analysis in a coupled FitzHugh-Nagumo neural system with delay

Neurocomputing
Dynamic depression control of chaotic neural networks for associative memory

Neurocomputing
A mode-dependent stability criterion for delayed discrete-time stochastic neural networks with Markovian jumping parameters

Neurocomputing
State estimation for neural networks with mixed interval time-varying delays

Neurocomputing
Less conservative results of state estimation for neural networks with time-varying delay

Neurocomputing
Impulsive pinning synchronization of stochastic discrete-time networks

Neurocomputing
Robust state estimation for stochastic genetic regulatory networks

International Journal of Systems Science - Dynamics Analysis of Gene Regulatory Networks
Exponential stability on stochastic neural networks with discrete interval and distributed delays

IEEE Transactions on Neural Networks
On some necessary and sufficient conditions for a recurrent neural network model with time delays to generate oscillations

IEEE Transactions on Neural Networks
State estimation for static neural networks with time-varying delay

Neural Networks
Neural networks letter: Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay

Neural Networks
Guaranteed performance state estimation of static neural networks with time-varying delay

Neurocomputing
Robust state estimation for neural networks with discontinuous activations

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
New passivity analysis for neural networks with discrete and distributed delays

IEEE Transactions on Neural Networks
Stochastic dissipativity analysis on discrete-time neural networks with time-varying delays

Neurocomputing
State estimation of recurrent neural networks with time-varying delay: A novel delay partition approach

Neurocomputing
Less conservative results of state estimation for delayed neural networks with fewer LMI variables

Neurocomputing
Global asymptotic stability of stochastic Cohen-Grossberg-type BAM neural networks with mixed delays: An LMI approach

Journal of Computational and Applied Mathematics
Synchronization for an array of coupled stochastic discrete-time neural networks with mixed delays

Neurocomputing
Delay-dependent robust asymptotic state estimation of Takagi-Sugeno fuzzy Hopfield neural networks with mixed interval time-varying delays

Expert Systems with Applications: An International Journal
Adaptive neural control for uncertain systems subject to actuator failure

Neurocomputing
Neural networks letter: Stochastic state estimation for neural networks with distributed delays and Markovian jump

Neural Networks
Efficient neural networks for solving variational inequalities

Neurocomputing
Impulses-induced exponential stability in recurrent delayed neural networks

Neurocomputing
H∞ state estimation of static neural networks with time-varying delay

Neurocomputing
Neural networks letter: Controllability and optimal control of a temporal Boolean network

Neural Networks
Distributed weighted robust Kalman filter fusion for uncertain systems with autocorrelated and cross-correlated noises

Information Fusion
Neural networks letter: Exponential state estimation for Markovian jumping neural networks with time-varying discrete and distributed delays

Neural Networks
Anti-periodic mild attractor of delayed hopfield neural networks systems with reaction-diffusion terms

Neurocomputing
Exponential p-stability of stochastic recurrent neural networks with mixed delays and Markovian switching

Neurocomputing
Letters: Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters

Neurocomputing
Original Articles: Noise suppress exponential growth for hybrid Hopfield neural networks

Mathematics and Computers in Simulation
A mode-dependent approach to state estimation of recurrent neural networks with Markovian jumping parameters and mixed delays

Neural Networks
Exponential stabilization of delayed recurrent neural networks: A state estimation based approach

Neural Networks
Delay-dependent H∞ state estimation of neural networks with mixed time-varying delays

Neurocomputing
Delay-Dependent Robust Exponential Stability of Impulsive Markovian Jumping Reaction-Diffusion Cohen-Grossberg Neural Networks

Neural Processing Letters
Unbiased estimation of Markov jump systems with distributed delays

Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper is concerned with the state estimation problem for a class of Markovian neural networks with discrete and distributed time-delays. The neural networks have a finite number of modes, and the modes may jump from one to another according to a Markov chain. The main purpose is to estimate the neuron states, through available output measurements, such that for all admissible time-delays, the dynamics of the estimation error is globally asymptotically stable in the mean square. An effective linear matrix inequality approach is developed to solve the neuron state estimation problem. Both the existence conditions and the explicit characterization of the desired estimator are derived. Furthermore, it is shown that the traditional stability analysis issue for delayed neural networks with Markovian jumping parameters can be included as a special case of our main results. Finally, numerical examples are given to illustrate the applicability of the proposed design method.