NDLI: Computation of minimal realizations of periodic systems

Content Provider	IEEE Xplore Digital Library
Author	Varga, A.
Copyright Year	1998
Description	Author affiliation: Inst. of Robotics & Syst. Dynamics, German Aerosp. Center, Wessling, Germany (Varga, A.)
Abstract	We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free square-root method has the advantage of a potentially better numerical accuracy in case of poorly scaled original systems. The key numerical computation in both methods is the solution of nonnegative periodic Lyapunov equations directly for the Cholesky factors of the solutions. For this purpose, a numerically reliable computational algorithm is proposed to solve nonnegative periodic Lyapunov equations with time-varying dimensions.
Starting Page	3825
Ending Page	3830
File Size	541199
Page Count	6
File Format	PDF
ISBN	0780343948
ISSN	01912216
DOI	10.1109/CDC.1998.761824
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-12-18
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Time varying systems Equations Algorithm design and analysis Observability Eigenvalues and eigenfunctions Robots Aerodynamics Control systems Robustness
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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