Feng Zhiguang, Lam James
Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong.
IEEE Trans Neural Netw. 2011 Jun;22(6):976-81. doi: 10.1109/TNN.2011.2128341. Epub 2011 May 10.
In this brief, the problems of delay-dependent stability analysis and strict (Q,S,ℜ)-α-dissipativity analysis are investigated for cellular neural networks (CNNs) with distributed delay. First, by introducing an integral partitioning technique, two new forms of Lyapunov-Krasovskii functionals are constructed, and improved distributed delay-dependent stability conditions are established in terms of linear matrix inequalities. Based on this criterion, a new sufficient delay and α-dependent condition is given to guarantee that the CNNs with distributed delay are strictly (Q,S,ℜ)-α-dissipative. The results developed in this brief can tolerate larger allowable delay than existing ones in the literature, which is demonstrated by several examples.
在本简报中，研究了具有分布时滞的细胞神经网络（CNN）的时滞依赖稳定性分析和严格（Q，S，ℜ）-α-耗散性分析问题。首先，通过引入积分划分技术，构造了两种新形式的Lyapunov-Krasovskii泛函，并根据线性矩阵不等式建立了改进的时滞依赖稳定性条件。基于该准则，给出了一个新的充分时滞和α依赖条件，以保证具有分布时滞的CNN是严格（Q，S，ℜ）-α-耗散的。本简报中得到的结果能够容忍比文献中现有结果更大的允许时滞，这通过几个例子得到了证明。
