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Slowly varying discrete system
x
i
+1
=
A
i
x
i
Home
Publications
Slowly varying discrete system
x
i
+1
=
A
i
x
i
Slowly varying discrete system
x
i
+1
=
A
i
x
i
CD
C.A. Desoer
C.A. Desoer
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28 May 1970
journal article
Published by
Institution of Engineering and Technology (IET)
in
Electronics Letters
Vol. 6
(11)
,
339-340
https://doi.org/10.1049/el:19700239
Abstract
If all eigenvalues of all matrices
A
i
(
i
=0, 1, 2, ...) lie in a disc of radius A
i
, vary sufficiently slowly, then the system
x
i
+1
=
A
i
x
i
is exponentially stable. An explicit upper bound on the variation rate is given.
Keywords
DISCRETE SYSTEM
VARYING DISCRETE
LIE
SUFFICIENTLY
EXPLICIT
EXPONENTIALLY
RADIUS
EIGENVALUES
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Cited by 120 articles