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
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;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786461
