Paper Info
Title
Validated numerical computation of the L∞-norm for linear dynamical systems
Abstract
This paper develops a validated numerical algorithm to compute the L"~-norm, a norm which plays an important role in modern control. The method reduces the L"~-norm computation problem to real root localization of polynomials and some Sturm chain tests, both of which can be executed in a manner which guarantees accuracy. A computational complexity estimate is also given.
Year
DOI
Venue
2006
10.1016/j.jsc.2005.11.005
J. Symb. Comput.
Keywords
DocType
Volume
Guaranteed accuracy,Sturm chain test,norm computation problem,computational complexity estimate,linear dynamical system,control systems,validated numerical methods,real root localization,important role,Control systems,modern control,Validated numerical computation,Validated numerical methods,numerical algorithm,guaranteed accuracy
Journal
41
Issue
ISSN
Citations 
6
Journal of Symbolic Computation
4
PageRank 
References 
Authors
0.60
6
2
Name
Order
Citations
PageRank
Masaaki Kanno1306.92
Malcolm C. Smith225047.90