DocumentCode
2102612
Title
Algebraic Riccati equations and infinitesimal V-stability, a Grobner basis approach
Author
Fathpour, Nanaz ; Jonckheere, Edmond A.
Author_Institution
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume
6
fYear
2002
fDate
2002
Firstpage
5138
Abstract
We investigate the connection between infinitesimal V-stability of solutions to the algebraic Riccati equations, the Hamiltonian eigenstructure of the solutions, and the quadratic differential of the corresponding Riccati map. Infinitesimal V-stability of critical points of the Riccati map is crucially related to stability of the Riccati map and characterizes the behavior of these solutions under perturbations of problem data. Grobner bases are used to implement the calculations.
Keywords
Riccati equations; eigenvalues and eigenfunctions; matrix algebra; numerical stability; Grobner basis approach; Hamiltonian eigenstructure; Riccati map; algebraic Riccati equations; critical points; infinitesimal V-stability; quadratic differential; Algebra; Bifurcation; Differential algebraic equations; Differential equations; Jacobian matrices; Riccati equations; Stability; Structural engineering; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2002. Proceedings of the 2002
ISSN
0743-1619
Print_ISBN
0-7803-7298-0
Type
conf
DOI
10.1109/ACC.2002.1025482
Filename
1025482
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