DocumentCode
3530539
Title
Stability analysis of an i.i.d. descriptor jump linear system: A spectral analysis approach
Author
Chavez-Fuentes, Jorge R. ; Costa, Eduardo F. ; Terra, M.H.
Author_Institution
Dept. de Cienc., Pontificia Univ. Catolica del Peru PUCP, Lima, OH, USA
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
3344
Lastpage
3348
Abstract
Mean square stability of a discrete-time descriptor jump linear system driven by an independent, identically distributed process (i.i.d.) is shown to be equivalent to the generalized spectral radius of a pair of augmented matrices being less than one. This test for stability extends an existing result from i.i.d. jump linear system to i.i.d. descriptor systems. Examples are provided to show the results of the paper.
Keywords
discrete time systems; matrix algebra; stability; stochastic systems; IID descriptor jump linear system; augmented matrices; discrete-time descriptor jump linear system; mean square stability; spectral analysis approach; Equations; Linear systems; Markov processes; Numerical stability; Silicon; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760394
Filename
6760394
Link To Document