DocumentCode :
404573
Title :
On computing the L2-induced norm of finite-horizon systems
Author :
Bamieh, Bassam
Author_Institution :
Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
Volume :
2
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
1860
Abstract :
We present a bisection type algorithm for computing the L2-induced norm of a linear time invariant system over a finite time horizon. The main difficulty in using bisection algorithms for finite horizon norm computation, namely the discreteness of the spectrum, is circumvented by using a winding number method. We derive an integral formula that counts the number of singular values of the finite horizon operator that are larger than a certain pre-specified level.
Keywords :
H∞ control; integral equations; linear systems; multidimensional systems; sampled data systems; L2-induced norm; bisection type algorithm; finite-horizon systems; linear time invariant system; winding number method; Control systems; Delay effects; Delay systems; Infinite horizon; Integral equations; MIMO; Mechanical engineering; Optimal control; Testing; Time invariant systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1272884
Filename :
1272884
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=404573
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