The discrete-time generalized algebraic Riccati equation: Order reduction and solutions’ structure-Reference-Cited by-同舟云学术

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The discrete-time generalized algebraic Riccati equation: Order reduction and solutions’ structure

Published:2015-01 Issue: Volume:75 Page:84-93
ISSN:0167-6911
Container-title:Systems & Control Letters
language:en
Short-container-title:Systems & Control Letters

Author:

Ntogramatzidis Lorenzo,Ferrante Augusto

Funder

Australian Research Council

Italian Ministry for Education and Research

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference19 articles.

1. Contributions to the theory of optimal control;Kalman;Bull. Soc. Math. Mexicana,1960

2. When is a linear control system optimal?;Kalman;IEEE Trans. ASME,1964

3. The Riccati Equation,1991

4. Algebraic Riccati Equations;Lancaster,1995

5. Generalized Riccati Theory and Robust Control, A Popov Function Approach;Ionescu,1999

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. On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis.;IFAC-PapersOnLine;2020

2. On the reduction of the continuous-time generalized algebraic Riccati equation: An effective procedure for solving the singular LQ problem with smooth solutions;Automatica;2018-07

3. The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system;Linear and Multilinear Algebra;2018-01-03

4. Reduction of discrete algebraic Riccati equations: elimination of generalized eigenvalues on the unit circle;Operators and Matrices;2018

5. On discrete algebraic Riccati equations: A rank characterization of solutions;Linear Algebra and its Applications;2017-08

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