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摘要: |
考虑了一类新的非线性变分不等式,提出了求解的一个神经网络模型.在映射弱强制条件下,严格证明了该网络是Lyapunov稳定的,并且渐进收敛于原问题的一个精确解.此外,在适当的条件下证明了该模型的指数稳定性.数值实例表明该模型可行且有效. |
关键词: 变分不等式 神经网络 指数稳定性 有限时间收敛性 |
DOI: |
分类号:O221.2 |
基金项目:国家自然科学基金 |
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A neural network for solving a new class of nonlinear variational inequalities |
BI Hong-mei WANG Jing
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Abstract: |
This paper considers a new class of nonlinear variational inequalities,and presents a new neuarl network to solve it.The proposed neural netwrk is shown to be stable in the sense of Lyapunov and to have a fi- nite-time convergence under the weak casting c |
Key words: variational inequality,neural network,exponential stability,finite-time convergence |