Adaptive stochastic robust convergence of neutral-type neural networks with markovian jump parameters

Authors:
Cheng-De Zheng;Chao-Ke Gong;Zhanshan Wang
Affiliations:
School of Science, Dalian Jiaotong University, Dalian, P.R. China;School of Science, Dalian Jiaotong University, Dalian, P.R. China;School of Information Science and Engineering, Northeastern University, Shenyang, P.R. China
Venue:
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Year:
2012

Citing 16
Cited 0

Brief paper: Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities

Automatica (Journal of IFAC)
Mean square exponential stability of uncertain stochastic neural networks with time-varying delay

Neurocomputing
Stochastic stability of Markovian jumping Hopfield neural networks with constant and distributed delays

Neurocomputing
Letters: Robust stability of stochastic Cohen-Grossberg neural networks with mixed time-varying delays

Neurocomputing
Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Delay-dependent exponential stability for uncertain stochastic Hopfield neural networks with time-varying delays

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays

IEEE Transactions on Neural Networks
Neural networks letter: Delay-dependent stability analysis for continuous-time BAM neural networks with Markovian jumping parameters

Neural Networks
Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks

Neurocomputing
Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays

IEEE Transactions on Neural Networks
Fuzzy H∞ filtering for nonlinear Markovian jump neutral systems

International Journal of Systems Science - New advances in H∞ control and filtering for nonlinear systems
Adaptive robust control of uncertain time delay systems

Automatica (Journal of IFAC)
Stability and synchronization for Markovian jump neural networks with partly unknown transition probabilities

Neurocomputing
Markovian architectural bias of recurrent neural networks

IEEE Transactions on Neural Networks
Stability Analysis of Markovian Jumping Stochastic Cohen–Grossberg Neural Networks With Mixed Time Delays

IEEE Transactions on Neural Networks
Robust Stability Analysis for Interval Cohen–Grossberg Neural Networks With Unknown Time-Varying Delays

IEEE Transactions on Neural Networks

Quantified Score

Hi-index	0.00

Visualization

Abstract

The adaptive stochastic robust convergence and stability in mean square are investigated for a class of uncertain neutral-type neural networks with both Markovian jump parameters and mixed delays. The mixed delays consists of discrete and distributed time-varying delays. First, by employing the Lyapunov method and a generalized Halanay-type inequality, a delay-independent condition is derived to guarantee the state variables of the discussed neural networks to be globally uniformly exponentially stochastic convergent to a ball in the state space with a pre-specified convergence rate. Next, by applying the Jensen integral inequality and a novel Lemma, a delay-dependent criterion is developed to achieve the globally stochastic robust stability in mean square. The proposed conditions are all in terms of linear matrix inequalities, which can be solved numerically by employing the LMI toolbox in Matlab.