DocumentCode
343303
Title
Structural stability and infinitesimal V-stability for the Riccati equation
Author
Fathpour, Nanaz ; Jonckheere, Edmond A.
Author_Institution
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume
4
fYear
1999
fDate
1999
Firstpage
2340
Abstract
Investigates structural stability and infinitesimal V-stability properties of the solutions to the algebraic Riccati equation considered as the zero points of a Riccati map. Infinitesimal V-stability is a refined analysis to investigate existence of bifurcations in the case of a structurally unstable map as revealed from a rank deficient Jacobian. Commutative algebra methods for the study of the infinitesimal V-stability of the critical points of general maps are first reviewed and then applied to this Riccati map
Keywords
Jacobian matrices; Riccati equations; eigenvalues and eigenfunctions; stability; topology; Riccati map; algebraic Riccati equation; commutative algebra methods; infinitesimal V-stability; rank deficient Jacobian; structural stability; structurally unstable map; Algebra; Bifurcation; Eigenvalues and eigenfunctions; Jacobian matrices; Riccati equations; Stability analysis; Structural engineering; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.786461
Filename
786461
Link To Document