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A One-Layer Recurrent Neural Network for Solving Pseudoconvex Optimization with Box Set Constraints

机译:具有盒集约束的伪凸优化问题的单层递归神经网络

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A one-layer recurrent neural network is developed to solve pseudoconvex optimization with boxconstraints. Compared with the existing neural networks for solving pseudoconvex optimization, the proposed neuralnetwork has a wider domain for implementation. Based on Lyapunov stable theory, the proposed neural network isproved to be stable in the sense of Lyapunov. By applying Clarke’s nonsmooth analysis technique, the finite-time stateconvergence to the feasible region defined by the constraint conditions is also addressed. Illustrative examples furthershow the correctness of the theoretical results.
机译:为了解决具有框约束的伪凸优化问题,开发了一种单层递归神经网络。与解决伪凸优化问题的现有神经网络相比,所提出的神经网络具有更广阔的实现领域。基于李雅普诺夫稳定理论,证明了所提出的神经网络在李雅普诺夫意义上是稳定的。通过应用Clarke的非平滑分析技术,还可以解决约束条件所定义的可行区域的有限时间状态收敛。说明性实例进一步说明了理论结果的正确性。

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