DocumentCode :
825068
Title :
Stability of linear differential equations with random coefficients
Author :
Blankenship, Gilmer
Author_Institution :
Case Western Reserve University, Cleveland, OH, USA
Volume :
22
Issue :
5
fYear :
1977
fDate :
10/1/1977 12:00:00 AM
Firstpage :
834
Lastpage :
838
Abstract :
The stability of stochastic differential equations with random coefficients is considered. The coefficients are not required to be wide-band noise, but either strongly ergodic or Markovian. Results are given for almost sure sample stability and stability of moments of arbitrary order. The damned harmonic oscillator with random spring constant is considered as an example.
Keywords :
Linear systems, stochastic continuous-time; Stability; Coordinate measuring machines; Differential equations; Linear matrix inequalities; Mathematics; Stability; Stochastic processes;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1977.1101612
Filename :
1101612
Link To Document :
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