Scalable Control Design for K-positive Linear Systems

Systems whose state is constrained to be positive allow for computationally efficient control design. These systems guarantee forward invariance of the orthant, which simplifies design stabilizing controllers. In this paper we show that property can extended a wider class systems. We study generic pointed, convex, solid cone and provide (scalable) conditions their stability dissipativity based on linear programming. Our results are illustrated by scalable controller mass-spring