A multistage reduction technique for feedback stabilizing distributed time-lag systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Parameter-dependent robust stability of uncertain time-delay systems
Journal of Computational and Applied Mathematics
Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays
IEEE Transactions on Signal Processing
State/noise estimator for descriptor systems with application to sensor fault diagnosis
IEEE Transactions on Signal Processing
Technical communique: Robust stabilization of uncertain systems with unknown input delay
Automatica (Journal of IFAC)
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
Synchronization of nonidentical chaotic neural networks with time-varying delays
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
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In this paper, we deal with the synchronization problem for an array of linearly coupled neural networks with simultaneous presence of both the discrete and unbounded distributed time-delays. By utilizing a novel Lyapunov-Krasovskii functional and the Kronecker product, it is shown that the addressed synchronization problem is solvable if several linear matrix inequalities (LMIs) are feasible. Hence, different from the commonly used matrix norm theories (such as the M-matrix method), a unified LMI approach is developed to establish sufficient conditions for the coupled neural networks to be globally synchronized, where the LMIs can be easily solved by using the Matlab LMI toolbox and no tuning of parameters is required. It is also shown that the synchronization of coupled neural networks with bounded distributed delays is just a special case of our main results. A numerical example is provided to show the usefulness of the proposed global synchronization condition.