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
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