Global dissipativity of continuous-time recurrent neural networks with time delay
Xiaoxin Liao, Jun Wang · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003
This paper addresses the global dissipativity of a general class of continuous-time recurrent neural networks. First, the concepts of global dissipation and global exponential dissipation are defined and elaborated. Next, the sets of global dissipativity and global exponentially dissipativity are characterized using the parameters of recurrent neural network models. In particular, it is shown that the Hopfield network and cellular neural networks with or without time delays are dissipative systems.