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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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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description 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].
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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
title Stability of Positive Differential Systems With Delay
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