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Author Mueller, M. ♦ Cantoni, M.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2010
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Time varying systems ♦ Riccati equations ♦ Linear systems ♦ Optimal control ♦ Boundary conditions ♦ Regulators ♦ Mathematical model ♦ gap metric robustness analysis ♦ Time-varying systems ♦ normalized coprime factorization
Abstract By considering the behaviour of stabilizable and detectable, linear time-varying state-space models over doubly-infinite continuous time, we establish the existence of so-called normalized coprime representations for the system graphs; that is, stable and stably left (resp. right) invertible, image (resp. kernel) representations that are normalized with respect to the inner product on $L^{2}(−∞,∞);$ this is consistent with the notion of normalization used in the time-invariant setting. The approach is constructive, involving the solution of time-varying differential Riccati equations with single-point boundary conditions at either +∞ or −∞. The contribution lies in accommodating state-space models that may not define an exponential dichotomy.
Description Author affiliation: School of Engineering, Computing and Mathematics, University of Exeter, England (Mueller, M.) || Department of Electrical and Electronic Engineering, The University of Melbourne, Australia (Cantoni, M.)
ISBN 9781424477456
ISSN 07431546
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2010-12-15
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781424477463
Size (in Bytes) 197.15 kB
Page Count 6
Starting Page 7718
Ending Page 7723

Source: IEEE Xplore Digital Library