Diagonal Lyapunov functions for positive linear time-varying systems

@article{Khong2016DiagonalLF,
  title={Diagonal Lyapunov functions for positive linear time-varying systems},
  author={Sei Zhen Khong and Anders Rantzer},
  journal={2016 IEEE 55th Conference on Decision and Control (CDC)},
  year={2016},
  pages={5269-5274}
}
Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions. Such a property is known to be useful in distributed and scalable control of positive systems. In this paper, it is established that the same holds for exponentially stable positive discrete-time and continuous-time linear time-varying systems. 

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