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首页> 外文期刊>Neural Networks and Learning Systems, IEEE Transactions on >Computing Time-Varying Quadratic Optimization With Finite-Time Convergence and Noise Tolerance: A Unified Framework for Zeroing Neural Network
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Computing Time-Varying Quadratic Optimization With Finite-Time Convergence and Noise Tolerance: A Unified Framework for Zeroing Neural Network

机译：具有有限时间收敛和噪声容忍度的时变二次优化计算：归零神经网络的统一框架

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摘要

Zeroing neural network (ZNN), as a powerful calculating tool, is extensively applied in various computation and optimization fields. Convergence and noise-tolerance performance are always pursued and investigated in the ZNN field. Up to now, there are no unified ZNN models that simultaneously achieve the finite-time convergence and inherent noise tolerance for computing time-varying quadratic optimization problems, although this superior property is highly demanded in practical applications. In this paper, for computing time-varying quadratic optimization within finite-time convergence in the presence of various additive noises, a new framework for ZNN is designed to fill this gap in a unified manner. Specifically, different from the previous design formulas either possessing finite-time convergence or possessing noise-tolerance performance, a new design formula with finite-time convergence and noise tolerance is proposed in a unified framework (and thus called unified design formula). Then, on the basis of the unified design formula, a unified ZNN (UZNN) is, thus, proposed and investigated in the unified framework of ZNN for computing time-varying quadratic optimization problems in the presence of various additive noises. In addition, theoretical analyses of the unified design formula and the UZNN model are given to guarantee the finite-time convergence and inherent noise tolerance. Computer simulation results verify the superior property of the UZNN model for computing time-varying quadratic optimization problems, as compared with the previously proposed ZNN models.
机译：调零神经网络（ZNN）作为一种强大的计算工具，已广泛应用于各种计算和优化领域。在ZNN领域中，始终追求收敛性和抗噪声性能。到目前为止，还没有可同时实现有限时间收敛和固有噪声容忍度的统一ZNN模型来计算时变二次优化问题，尽管在实际应用中对这种优越的性能有很高的要求。在本文中，为了在存在各种加性噪声的情况下在有限时间收敛内计算时变二次优化，设计了一种新的ZNN框架来统一填补这一空白。具体而言，不同于以前的具有有限时间收敛性或具有耐噪声性能的设计公式，在统一框架下提出了具有有限时间收敛性和耐噪声性的新设计公式（因此称为统一设计公式）。然后，在统一设计公式的基础上，提出了统一的ZNN（UZNN），并在ZNN的统一框架中进行了研究，以计算存在各种加性噪声的时变二次优化问题。此外，对统一设计公式和UZNN模型进行了理论分析，以确保有限的时间收敛性和固有的噪声容忍度。与先前提出的ZNN模型相比，计算机仿真结果验证了UZNN模型在计算时变二次优化问题上的优越性能。

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