An Improved Iterative Method for Solving the Discrete Algebraic Riccati Equation

An Improved Iterative Method for Solving the Discrete Algebraic Riccati Equation
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求解离散代数Riccati方程的改进迭代法

DOI:
10.1155/2020/3283157
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发表时间:
2020-05
影响因子:
--
通讯作者:
Wang Li
Wang Li
中科院分区:
工程技术4区
文献类型:
--
作者:
Wang Li

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离散代数Riccati方程在网络系统和最优控制系统中有着广泛的应用。基于阻尼牛顿法,提出了求解离散代数Riccati方程的两种带步长参数的迭代算法,其中一种是Dai and Bai(2011)中算法(4.1)的推广.数值算例验证了算法的收敛效果。
The discrete algebraic Riccati equation has wide applications, especially in networked systems and optimal control systems. In this paper, according to the damped Newton method, two iterative algorithms with a stepsize parameter is proposed to solve the discrete algebraic Riccati equation, one of which is an extension of Algorithm (4.1) in Dai and Bai (2011). A numerical example demonstrates the convergence effect of the presented algorithm.
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