NDLI: Lyapunov stability theory for linear repetitive processes

Content Provider	IEEE Xplore Digital Library
Author	Rogers, E. Gramacki, J. Gramacki, A. Galkowski, K. Owens, D.H.
Copyright Year	1999
Description	Author affiliation: Dept. of Robot. & Software Eng., Tech. Univ. of Zielona Gora, Zielona Gora, Poland (Gramacki, J.; Gramacki, A.; Galkowski, K.) \|\| Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield, UK (Owens, D.H.) \|\| Dept. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK (Rogers, E.)
Abstract	This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes. In particular, it is shown that this approach leads to stability tests which can be implemented by computations with matrices which have constant entries, and that if the example under consideration is stable then physically meaningful information concerning one key aspect of `transient' performance is available for no extra cost. The computational efficiency of these new stability tests against alternatives is also discussed and some areas for short to medium term further research briefly noted.
Starting Page	4774
Ending Page	4779
File Size	400506
Page Count	6
File Format	PDF
ISBN	9783952417355
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-08-31
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	EUCA
Subject Keyword	Linear systems Asymptotic stability Repetitive Dynamics Computed tomography Stability analysis Eigenvalues and eigenfunctions Polynomials Lyapunov Stability Linear Systems Mathematical model
Content Type	Text
Resource Type	Article

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