A Note on the Algebraic Matrix Riccati Equation.

机译：关于代数矩阵Riccati方程的一个注记。

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The results for the matrix Lyapunov equation are extended to the case of an algebraic matrix Riccati equation. Some errors are pointed out by a counter example. The estimations obtained in this note are shown to be exact for certain cases. Similar results are possible for the discrete algebraic matrix Riccati equation. (Author)

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Pearson, A. E.; Kwon, W. H.;
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年度 1976
页码 1-8
总页数 8
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Algebraic functions; Matrices(Mathematics); Lyapunov functions; Discrete distribution; Error analysis; Estimates; Theorems; Solutions(General); Riccati equation;

机译：代数函数;矩阵（数学）; Lyapunov函数;离散分布;误差分析;估计;定理;解（一般）; Riccati方程;

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专利

1. Modified newton methods for the algebraic matrix riccati equation. part 4 the discrete matrix riccati equation [J] . C.Storey Hungarian Journal of Industrial Chemistry . 2000,第4期

机译：代数矩阵riccati方程的修正牛顿法。第4部分离散矩阵riccati方程
2. On the Existence of a Stabilizing Solution of Modified Algebraic Riccati Equations in Terms of Standard Algebraic Riccati Equations and Linear Matrix Inequalities [J] . Francisco J. Vargas, Rodrigo A. González IEEE Control Systems Letters . 2020,第1期

机译：关于标准代数Riccati方程和线性矩阵不等式的修正代数Riccati方程的稳定解的存在性
3. On the generalized algebraic Riccati equations * * This work was partially supported by the Australian Research Council (DP160104994). [J] . A. Ferrante, L. Ntogramatzidis IFAC PapersOnLine . 2017,第1期

机译：关于广义代数Riccati方程 * * 这项研究得到了澳大利亚研究委员会（DP160104994）的部分支持。
4. A NOTE ON EXTENDED ALGEBRAIC RICCATI EQUATIONS APPEARING IN DISSIPATIVITY THEORY [C] . Nikita E. Barabanov, Romeo Ortega, International Federation of Automatic Control, IFAC symposium on robust control design . 2004

机译：关于耗散理论出现的扩展代数Riccati方程的说明
5. HAMILTONIAN AND SYMPLECTIC ALGORITHMS FOR THE ALGEBRAIC RICCATI EQUATION. [D] . BYERS, RALPH. 1983

机译：代数RICCATI方程的哈密顿算法和辛算法。
6. RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations [O] . Peter Benner, Zvonimir Bujanović, Patrick Kürschner, -1

机译：RADI：低阶ADI型算法用于大规模代数Riccati方程
7. On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate [O] . Lucas Jódar, E. Navarro 1989

机译：关于广义Riccati矩阵微分方程。精确，近似解决方案和错误估计

A Note on the Algebraic Matrix Riccati Equation.

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