带有不确定性的时变时滞神经网络渐近稳定性分析

研究了一类既具有时变时滞,又带有不确定性的细胞神经网络全局渐近稳定性问题,并给出了新的稳定判据.其中考虑的不确定性为有界不确定性,系统参数具有的这种不确定性是与时间相关的,它的参数被限制在一定范围内,时间滞后函数是随时间变化而改变的,但它的导数是小于1的.在国际上,针对这一类综合性问题的研究并无太成熟理论.因此,所建模型与以往模型相比更具有一般性.通过构造新的Lyapunov函数,利用LMI方法,给出了系统稳定的充分条件.最后,用仿真实例证明了理论的有效性.

Global Asymptotic Stability for Uncertain Cellular Neural Networks with Time-Varying Delays

The global asymptotic stability of cellular neural networks with uncertain parameters and time-varying delays was investigated,thus giving a new criterion for stability,where the relevant uncertainties are bounded and the uncertainties of system parameters are in relation to time hence restricted in a certain range.The time delay function changes with time,and its derivative is less than 1.For such a complicated problem,there is no highly mature theory about it internationally until now.So,the model to be d...