On the stability analysis of delayed neural networks systems
Neural Networks
Global exponential stability of delayed Hopfield neural networks
Neural Networks
Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global stability for cellular neural networks with time delay
IEEE Transactions on Neural Networks
An analysis of global asymptotic stability of delayed cellular neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Robust global exponential stability of Cohen-Grossberg neural networks with time delays
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
An improved global asymptotic stability criterion for delayed cellular neural networks
IEEE Transactions on Neural Networks
On stability of recurrent neural networks-an approach from volterra integro-differential equations
IEEE Transactions on Neural Networks
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Global Exponential Stability of Recurrent Neural Networks with Time-Dependent Switching Dynamics
ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part II
Exponential Stability of Uncertain Stochastic Neural Networks with Markovian Switching
Neural Processing Letters
Suppression of functional system with Markovian switching
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part II
pth Moment Exponential Stability of Stochastic Recurrent Neural Networks with Markovian Switching
Neural Processing Letters
Exponential stability of stochastic systems with hysteresis switching
Automatica (Journal of IFAC)
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This paper presents new stability results for recurrent neural networks with Markovian switching. First, algebraic criteria for the almost sure exponential stability of recurrent neural networks with Markovian switching and without time delays are derived. The results show that the almost sure exponential stability of such a neural network does not require the stability of the neural network at every individual parametric configuration. Next, both delay-dependent and delay-independent criteria for the almost sure exponential stability of recurrent neural networks with time-varying delays and Markovian-switching parameters are derived by means of a generalized stochastic Halanay inequality. The results herein include existing ones for recurrent neural networks without Markovian switching as special cases. Finally, simulation results in three numerical examples are discussed to illustrate the theoretical results.