Title :
A new system invariant and an algebraic proof of the standard H∞ problem
Author_Institution :
Div. of Math., Tokyo Univ. of Mercantile Marine, Japan
Abstract :
In the famous paper of Doyle-Glover-Khargonecker-Francis (1989), a functional analysis approach is used to prove that the solvability of two Riccati equations with spectral condition is necessary, which is the most involved part of the theory. In this paper, we give a new elementary and more algebraic proof. The philosophy behind it is an invariant theoretic approach
Keywords :
H∞ control; Hermitian matrices; Riccati equations; invariance; Riccati equations; algebraic proof; functional analysis approach; standard H∞ problem; system invariant; Control systems; Etching; Feedback; Functional analysis; Joining processes; Mathematics; Riccati equations;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573131
