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Stochastic stability of fault tolerant control systems in the presence of noise

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3 Author(s)
Mahmoud, M. ; Dept. of Electr. & Comput. Eng., Univ. of Western Ontario, London, Ont., Canada ; Jin Jiang ; Youmin Zhang

The stochastic stability of fault tolerant control systems (FTCS) in the presence of noise is studied using the Lyapunov function approach. We consider FTCS in the presence of white Gaussian noise. The noise is of three types, state-dependent noise, control-dependent noise, and purely additive noise. It is shown that the exponential stability in the mean square is sufficient for almost sure asymptotic stability. Specifically, a testable necessary and sufficient condition for the exponential stability in the mean square is derived. A numerical example is presented to validate the theoretical analysis

Published in:
American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

Date of Conference: 2000

Page(s):
4294 - 4298 vol.6
Meeting Date :
28 Jun 2000-30 Jun 2000
ISSN :
0743-1619
Print ISBN:
0-7803-5519-9
INSPEC Accession Number:
6805439
Conference Location :
Chicago, IL
Digital Object Identifier :
10.1109/ACC.2000.877031

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