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.
['Sei Zhen Khong', 'Anders Rantzer']
Diagonal Lyapunov functions for positive linear time-varying systems