The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control-Reference-Cited by-同舟云学术

The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control

Published:2016-07-19 Issue: Volume: Page:dnw012
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:IMA J Math Control Info

Author:

Liu Jianzhou,Wang Li,Zhang Juan

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/doi/10.1093/imamci/dnw012/9331395/dnw012.pdf

Reference24 articles.

1. On the solution of discrete-time Markovian jump linear quadratic control problems

2. A common fixed point theorem for compatible quasi contractive self mappings in metric spaces;Berinde;Appl. Math. Comput.,2009

3. Berman A. Plemmons R. J. (1979) Nonnegative Matrices in the Mathematical Science. New York: Academic Press.

4. Bernstein D. S. (2005) Matrix Mathematics: Theory, Facts and Formulas with Application to Linear Systems Theory. Princeton, NJ: Princeton University Press.

5. Upper matrix bounds for the discrete algebraic Riccati matrix equation

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A class of ADI method for the nonsymmetric coupled algebraic Riccati equations;Journal of Applied Mathematics and Computing;2024-06-10

2. Convergence analysis of Newton method without inversion for solving discrete algebraic Riccati equations;Journal of the Franklin Institute;2022-09

3. Upper solution bound of the CCARE and its application in multi-agent systems with time-delay in the state;International Journal of Control;2022-05-04

4. Numerical Algorithms of the Discrete Coupled Algebraic Riccati Equation Arising in Optimal Control Systems;Mathematical Problems in Engineering;2020-08-31

5. Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation;Complexity;2020-08-04