  Systems whose variable are constrained to be positive allow computationally
efficient control design. We generalize these results to linear systems which
leave a cone invariant. This is a wider class of systems than positive systems.
We revisit classical results on stability and dissipativity of positive linear
systems and show how scalable conditions on linear programming can be extended
to cone invariant linear systems. Our results are illustrated by scalable
stabilizing controller design for mass-spring systems.
