Positive Systems

Theory and Applications

Abstract

A dynamical system is said to be positive if its state and output are always nonnegative for any nonnegative initial state and any nonnegative input. Since positive systems frequently appear in those fields of engineering, economics, biology, chemistry, pharmacy, etc., and since convex optimization works particularly fine for the analysis and synthesis of positive systems, intensive research effort has been made along this direction. In this note, we briefly review recent results on the analysis and synthesis of positive systems using convex optimization and their applications.