Title :
Distance to the nearest uncontrollable pair and algebraic Riccati equation
Author :
Gahinet, Pascal U.
Author_Institution :
INRIA, Le Chesnay, France
Abstract :
A connection is established between nearness to unstabilizability of a stabilizable pair (A, B) of matrices, and nearness to singularity of the symmetric positive definite solution to an associated algebraic Riccati equation. From this result, computable upper and lower bounds are derived for the distance of (A, B) to the nearest uncontrollable pair
Keywords :
matrix algebra; stability criteria; algebraic Riccati equation; lower bounds; matrix algebra; nearest uncontrollable pair; nearness; stabilizable pair; upper bounds; Controllability; Costs; Riccati equations; Symmetric matrices; Testing; Upper bound; Vectors; Virtual reality;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203595
