کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
393469 | 665653 | 2014 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints](/preview/png/393469.png)
This paper proposes a neural network approach for efficiently solving general nonlinear convex programs with second-order cone constraints. The proposed neural network model was developed based on a smoothed natural residual merit function involving an unconstrained minimization reformulation of the complementarity problem. We study the existence and convergence of the trajectory of the neural network. Moreover, we show some stability properties for the considered neural network, such as the Lyapunov stability, asymptotic stability, and exponential stability. The examples in this paper provide a further demonstration of the effectiveness of the proposed neural network. This paper can be viewed as a follow-up version of [20] and [26] because more stability results are obtained.
Journal: Information Sciences - Volume 268, 1 June 2014, Pages 255–270