非線性連續(xù)神經(jīng)網(wǎng)絡(luò)平衡態(tài)的吸引域及收斂指數(shù)的估計(jì)
THE ESTIMATES OF CONVERGENT RATE AND ATTRACTIVE DOMAIN OF NONLINEAR CONTINUOUS NEURAL NETWORK
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摘要: 給出一種新的簡(jiǎn)單方法分析非線性連續(xù)神經(jīng)網(wǎng)絡(luò)的指數(shù)穩(wěn)定性。得到了最優(yōu)化計(jì)算神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的一些判定條件,以及聯(lián)想記憶神經(jīng)網(wǎng)絡(luò)各平衡態(tài)的吸引域與收斂速度估計(jì)。所得結(jié)論推廣了某些文獻(xiàn)中已有結(jié)果。Abstract: The estimates of attractive domain and convergent rate of nonlinear continuous memory neural network are obtained, and some sufficient conditions for the network to be globally exponentially stable are developed, these results generalize ones in references.
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Killy D G. Stability in contractive nonlinear neural networks. IEEE Trans. on Biomedical Engineering, 1990, BME-37: 231-242.[2]Sugawara K, Harao M. On the stability of equilibrium states of analogue neural networks. Trans-[3]actions of the Institute of Electronics and Communication Engineers, 1983, J-66-A: 258-265.[4]Subhrsanan S I, Sundareshan M K. Exponential stability and a systematic synthesis of a neural network for quadratic minimization[J].Neural Networks.1991, 4:599-613[5]Bouzerdoum A, Pattison T R. Neural network for quadratic optimization with bound constraints. IEEE Trans. on Neural Networks, 1993, NN-4: 293-303.[6]Avitabile G, Forti M, et al. On a class of nonsymmetrical neural networks with application to ADC. IEEE Trans. on Circuits and Syst, 1991, CAS-38(2): 202-208.[7]Bauer F, Stoer J, Witzgall C. Absolute and monotonic norms[J].Numer. Math.1961, 3:257-264 -
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