Stability of Positive Differential Systems With Delay

We first prove an explicit criterion for positive linear time-varying differential systems with distributed delay. Then some simple criteria for exponential stability of positive linear time-invariant differential systems with delay are presented. Finally, we extend obtained results to linear differ...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2013-01, Vol.58 (1), p.203-209
Main Author: Ngoc, Pham Huu Anh
Format: Article
Language:English
Subjects:
Automatic control
Biological system modeling
Criteria
Delay
Exponential stability
Linear matrix inequalities
Nonlinearity
positive system
Stability
Stability criteria
time delay system
Time varying systems
Vectors
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Summary:We first prove an explicit criterion for positive linear time-varying differential systems with distributed delay. Then some simple criteria for exponential stability of positive linear time-invariant differential systems with delay are presented. Finally, we extend obtained results to linear differential systems with time-varying delay and to nonlinear differential systems with delay. The results given in this technical note are extensions of some recent results in ,[7],[11] and [14].
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2012.2203031