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- Lior Fainshil, Michael Margaliot, Pavel Chigansky
- IEEE Trans. Automat. Contr.
- 2009

We consider n-dimensional positive linear switched systems. A necessary condition for stability under arbitrary switching is that every matrix in the convex hull of the matrices defining the subsystems is Hurwitz. Several researchers conjectured that for positive linear switched systems this condition is also sufficient. Recently, Gurvits, Shorten, and… (More)

- Lior Fainshil, Michael Margaliot
- SIAM J. Control and Optimization
- 2012

We consider a continuous-time bilinear control system with Metzler matrices. Each entry in the transition matrix of such a system is non-negative, making the positive orthant an invariant set of the dynamics. Motivated by the stability analysis of positive linear switched systems (PLSSs), we define a control as optimal if, for a fixed final time, it… (More)

We consider n-dimensional positive linear switched systems. A necessary condition for stability under arbitrary switching is that every matrix in the convex hull of the matrices defining the subsystems is Hurwitz. Several researchers conjectured that for positive linear switched systems this condition is also sufficient. Recently, Gurvits, Shorten, and… (More)

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