An accelerated zeroing neural network for solving continuous coupled Lyapunov matrix equations

IF 2.2 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS IET Control Theory and Applications Pub Date : 2024-06-10 DOI:10.1049/cth2.12680

Yurui Wang, Ying Zhang

引用次数: 0

Abstract

In this paper, an improved zeroing neural network (ZNN) model is proposed to obtain the positive definite solutions of the continuous coupled Lyapunov matrix equations (CLMEs) associated with continuous-time Markovian jump (CMJ) systems. To achieve this, a general ZNN model is established by constructing a matrix-valued error function. Then, to accelerate the convergence rate of the proposed ZNN model, the latest estimation is introduced to obtain an improved ZNN model. Some convergence conditions have been derived for the presented improved ZNN model through Lyapunov theory. Comparisons among the improved ZNN model and the existing results are conducted to illustrate the advantages of the proposed improved ZNN model in numerical examples.

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用于求解连续耦合 Lyapunov 矩阵方程的加速归零神经网络

本文提出了一种改进的归零神经网络（ZNN）模型，用于获得与连续时间马尔可夫跃迁（CMJ）系统相关的连续耦合李亚普诺夫矩阵方程（CLME）的正定解。为此，通过构建矩阵值误差函数，建立了一般 ZNN 模型。然后，为了加快所提出的 ZNN 模型的收敛速度，引入了最新的估计方法，以获得改进的 ZNN 模型。通过 Lyapunov 理论，得出了改进 ZNN 模型的一些收敛条件。通过对改进的 ZNN 模型和现有结果进行比较，在数值示例中说明了所提出的改进 ZNN 模型的优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.