# Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays

@article{Feyzmahdavian2014ExponentialSO,
title={Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays},
author={Hamid Reza Feyzmahdavian and Themistoklis Charalambous and Mikael Johansson},
journal={IEEE Transactions on Automatic Control},
year={2014},
volume={59},
pages={1594-1599}
}
While the asymptotic stability of positive linear systems in the presence of bounded time delays has been thoroughly investigated, the theory for nonlinear positive systems is considerably less well-developed. This technical note presents a set of conditions for establishing delay-independent stability and bounding the decay rate of a significant class of nonlinear positive systems which includes positive linear systems as a special case. Specifically, when the time delays have a known upper… CONTINUE READING
Highly Cited
This paper has 34 citations. REVIEW CITATIONS

#### Citations

##### Publications citing this paper.
Showing 1-10 of 19 extracted citations

## On the Decay Rates of Homogeneous Positive Systems of Any Degree With Time-Varying Delays

IEEE Transactions on Automatic Control • 2015
View 5 Excerpts
Highly Influenced

## Exponential Stability of Two-Dimensional Homogeneous Monotone Systems With Bounded Directional Delays

IEEE Transactions on Automatic Control • 2018
View 5 Excerpts
Highly Influenced

## Exponential stability of time-delay systems via new weighted integral inequalities

Applied Mathematics and Computation • 2016
View 4 Excerpts
Highly Influenced

## Dynamics of delayed switched nonlinear systems with applications to cascade systems

Automatica • 2018

2018

## Stability Analysis for Positive Singular Systems With Time-Varying Delays

IEEE Transactions on Automatic Control • 2018

## Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions

IEEE Transactions on Automatic Control • 2018

2018
View 1 Excerpt

## $\mu$ -Stability of Nonlinear Positive Systems With Unbounded Time-Varying Delays

IEEE Transactions on Neural Networks and Learning Systems • 2017
View 1 Excerpt

## A stability criterion for discrete-time switched nonautonomous nonlinear systems with delays

2017 29th Chinese Control And Decision Conference (CCDC) • 2017
View 3 Excerpts

#### References

##### Publications referenced by this paper.
Showing 1-10 of 19 references

## Asymptotic stability and decay rates of positive linear systems with unbounded delays

52nd IEEE Conference on Decision and Control • 2013

## On the rate of convergence of continuous-time linear positive systems with heterogeneous time-varying delays

2013 European Control Conference (ECC) • 2013

## Relationships between asymptotic stability and exponential stability of positive delay systems

Int. J. General Systems • 2013
View 3 Excerpts

## Distributed control of positive systems

IEEE Conference on Decision and Control and European Control Conference • 2011

## Exponential stability analysis for positive systems with delays

Proceedings of the 30th Chinese Control Conference • 2011
View 1 Excerpt

## Inconsistencies in systems with time-varying delays and their resolution

IMA J. Math. Control & Information • 2011
View 1 Excerpt

## Robust stability analysis of uncertain linear positive systems via integral linear constraints: L1- and L∞-gain characterizations

IEEE Conference on Decision and Control and European Control Conference • 2011

## The Bounded Real Lemma for Internally Positive Systems and H-Infinity Structured Static State Feedback

IEEE Transactions on Automatic Control • 2011

## Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays

IEEE Transactions on Automatic Control • 2010
View 2 Excerpts

## Observations on the stability properties of cooperative systems

Systems & Control Letters • 2009
View 1 Excerpt