NDLI: Stability analysis of time-delay systems via Nyquist stability criterion and multidimensional systems theory

Content Provider	IEEE Xplore Digital Library
Author	Matsumoto, N. Yashiki, S. Sakai, K.
Copyright Year	1992
Description	Author affiliation: Dept. of Electron. & Commun., Meiji Univ., Kawasaki, Japan (Matsumoto, N.; Yashiki, S.; Sakai, K.)
Abstract	Discusses the stability of time-delay systems described by the state vector differential-difference equations in view of the Nyquist stability criterion and multidimensional systems theory. The stability of the time-delay systems described by state vector differential-difference equations can be checked by premultiplying a real rational matrix by a diagonal time-delay matrix and plotting the eigenloci of the resulting matrix. The strictly bounded real (SBR) condition of this matrix gives conservative sufficient conditions of stability independent of delay (i.o.d.) for time-delay systems, which can be improved by introducing real rational similarity transformation matrices. The first order scalar transfer functions which are lossless bounded real independent of delay (LBR i.o.d.) always make it possible to derive real coefficients minimal realization systems; but if they are LBR dependent on delay (LBR d.o.d.) it is impossible to derive minimal realization systems without using complex coefficients systems.<>
Starting Page	705
Ending Page	709
File Size	323527
Page Count	5
File Format	PDF
ISBN	0780305930
DOI	10.1109/ISCAS.1992.230154
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-05-10
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability analysis Stability criteria Multidimensional systems Sufficient conditions Delay Transfer functions State-space methods Silicon compounds Differential equations Digital signal processing
Content Type	Text
Resource Type	Article

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