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This paper discusses the synthesis problem for a class of discrete time complex-valued Hopfield neural network. To be an associative memory, each memory pattern of the network should be stable and attractive. For this reason, this paper firstly analysis the stability of network, where a generalized Hamming distance defined in complex-valued domain is used to be Lyapunov function. Thus a stable criterion...
This paper investigates stability for systems with practical levels of complexity including nonlinearities, large-scale interconnections, time-delays, uncertainty and heterogeneous signals, in this case chosen to be impulses in continuous-time. More precisely, the results give robust global exponential stability (RGES) for complex impulsive dynamical systems. By utilizing Lyapunov function and Lyapunov-Krasovskii...
This brief studies uncertain discrete impulsive systems. The robustly asymptotical stability criteria are established for linear discrete impulsive system and a class of uncertain nonlinear discrete impulsive systems, respectively. These stability criteria are expressed in terms of fairly simple algebraic conditions so that they are easy to be tested. Some examples are given to illustrate results...
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