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Abstract:
This paper is concerned with the stabilization problem for a class of continuous stochastic time-delay systems with nonlinear disturbances, parameter uncertainties and possible actuator failures. Both the stability analysis and synthesis problems are considered. The purpose of the stability analysis problem is to derive easy-to-test conditions for the uncertain nonlinear time-delay systems to be stochastically, exponentially stable. The synthesis problem, on the other hand, aims to design state feedback controllers such that the closed-loop system is exponentially stable in the mean square for all admissible uncertainties, nonlinearities, time-delays and possible actuator failures. It is shown that the addressed problem can be solved in terms of the positive definite solutions to certain algebraic matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of the proposed design method. © 2005 Taylor & Francis.
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International Journal of General Systems
ISSN: 0308-1079
Year: 2005
Issue: 5
Volume: 34
Page: 523-535
0 . 8 5 5
JCR@2005
2 . 4 0 0
JCR@2023
ESI Discipline: COMPUTER SCIENCE;
JCR Journal Grade:2
Cited Count:
SCOPUS Cited Count: 15
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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