利用不动点理论、Lyapunov泛函,研究了具变时滞的BAM神经网络周期解的存在性、唯一性和全局指数稳定性问题。所得的充分判别标准由线性矩阵不等式所表示,可以较容易地由Matlab进行验证。仿真实例表明,得到的判据是有效的。
By using the fixed point theorem and constructing suitable Lyapunov function,some sufficient conditions are obtained ensuring existence,uniqueness,and global exponential stability of periodic solution for BAM neural networks with time-varying delays.The obtained sufficient criteria are derived in terms of Linear Matrix Inequalities(LMIs),which can be easily checked by Matlab.An example is given to show the effectiveness of the obtained results.