Title :
State space formulae for the gap computation
Author :
Hirata, Kentaro ; Yamamoto, Yutaka ; Tannenbaum, Allen
Author_Institution :
Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
Abstract :
It is widely recognized that the computation of the gap metric is equivalent to a two block Hx problem or the norm computation of a two block “Hankel+Toeplitz” operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. We show here a simple computational method for finding such singular value and the gap between two plants using a state space skew Toeplitz type approach
Keywords :
Hankel matrices; optimal control; singular value decomposition; state-space methods; transfer function matrices; Hankel operator; Toeplitz operator; block Hx problem; gap metric; rational transfer function; singular value; state space; Concrete; Equations; Hydrogen; Military computing; Physics; Poles and zeros; State-space methods; Transfer functions; Uncertainty;
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.1996.577591
