【摘要】 研究了带有常数耦合、时滞耦合及分布时滞耦合的时滞神经网络的同步问题。构造了含有矩阵Kronecker积的Lyapunov-Krasovskii泛函(Lyapunov-Krasovskii functional,LKF),应用Jensen不等式、Wirtinger积分不等式、倒凸不等式和线性矩阵不等式(linear matrix inequality,LMI)技术来估计LKF的导数,得到了一个新的LMI形式的同步判据。数值仿真例子验证了所提出结果的有效性。更多还原

【Abstract】 The synchronization problem for time-delayed neural networks with constant coupling, delay coupling and distributed-delay coupling were studied. By constructing the Lyapunov-Krasovskii functional(LKF) containing the Kronecker product of matrices, applying Jensen inequality, Wirtinger-based integral inequality, the reciprocally convexinequality and the linear matrix inequality(LMI) technique to estimate the derivative of the LKF,a novel synchronization criterion in terms of LMIs is obtained. The numerical simulation example confirms the effectiveness of the proposed results.更多还原