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Similarity Transformation and Algebraic Riccati Equations

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
In this tutorial paper, a close relationship is established between algebraic Riccati equations and similarity transform. Some results about algebraic Riccati equations are interpreted here using similarity transformations and block diagrams are introduced to represent the stabilising solutions of algebraic Riccati equations.
openaire   +1 more source

Exact Decompositions of Algebraic Riccati Equations

1993
In this chapter, the algebraic Riccati equations of both singularly perturbed and weakly coupled control systems are completely and exactly decomposed into two reduced-order algebraic Riccati equations. The decomposed algebraic Riccati equations are nonsymmetric ones.
Zoran Gajić, Xuemin Shen
openaire   +1 more source

A novel fractional grey Riccati model for carbon emission prediction

Journal of Cleaner Production, 2021
Mingyun Gao, Qinzi Xiao, Mark Goh
exaly  

Algebraic Riccati Equation

, 2016
Kang‐Zhi Liu, Yuanhong Yao
semanticscholar   +1 more source

Perturbation analysis of algebraic Riccati equations

1988
A perturbation analysis for the algebraic Riccati equation (ARE) \(A^ TX+XA+M-XNX=0\), \(M=M^ T\geq 0\), \(N=N^ T\geq 0\) is presented. First, under the assumptions that M and N are invertible, bounds for \(\| X\|\) and \(\| \tilde X\|\) (where \(\tilde X\) is the solution of the perturbed ARE), as well as an error bound for \(\| \delta X\|\) \((\delta
Codenotti B, Favati P, Flandoli F
openaire   +3 more sources

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