Title :
On the quadratic controllability and quadratic feedback minimality
Author :
Chu, Delin ; Malabre, Michel
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
9/1/2002 12:00:00 AM
Abstract :
In Swei et al. (2000) the quadratic controllability and quadratic feedback minimality of unstructured norm bounded uncertain linear systems have been studied with explicitly verifiable necessary and sufficient solvability conditions in terms of the so-called "essential subsystem." In this note, we give the geometric interpretation of the main results in the above paper, using the strongly controllable subspace and, hence, provide a deeper understanding of the concept of "essential subsystem" in an earlier work.
Keywords :
controllability; feedback; linear systems; uncertain systems; essential subsystem; geometric interpretation; necessary and sufficient solvability conditions; quadratic controllability; quadratic feedback minimality; strong controllability; unstructured norm bounded uncertain linear systems; Control systems; Control theory; Controllability; Convergence; Linear feedback control systems; Linear systems; Output feedback; Symmetric matrices; Time measurement; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.802765