Title :
Output convergence analysis for a class of delayed recurrent neural networks with time-varying inputs
Author :
Yi, Zhang ; Lv, Jian Cheng ; Zhang, Lei
Author_Institution :
Sch. of Comput. Sci. & Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
This paper studies the output convergence of a class of recurrent neural networks with time-varying inputs. The model of the studied neural networks has different dynamic structure from that in the well known Hopfield model, it does not contain linear terms. Since different structures of differential equations usually result in quite different dynamic behaviors, the convergence of this model is quite different from that of Hopfield model. This class of neural networks has been found many successful applications in solving some optimization problems. Some sufficient conditions to guarantee output convergence of the networks are derived.
Keywords :
Hopfield neural nets; convergence; delays; nonlinear differential equations; optimisation; Hopfield model; delayed recurrent neural network; differential equation; optimization problem; output convergence analysis; time-varying input; Computer science education; Convergence; Differential equations; Helium; Hopfield neural networks; Neural networks; Neurons; Recurrent neural networks; Sufficient conditions; Symmetric matrices; Delays; output convergence; recurrent neural networks; time-varying inputs; Algorithms; Animals; Computer Simulation; Humans; Models, Neurological; Nerve Net; Neural Networks (Computer); Nonlinear Dynamics; Time Factors;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2005.854500