Abstract

This chapter is devoted to the analysis of the positive dynamical linear continuous-time and discrete-time systems. The basic definitions and theorems concerning positivity and stability of the standard and descriptor (singular) linear systems described by the state equation and transfer matrices are given. The Kharitonov theorem is extended to positive linear systems with interval state matrices. The notions of the convex combinations of Hurwitz polynomials and Schur polynomials and of the state matrices are introduced. The considerations are illustrated by numerical examples of positive linear continuous-time and discrete-time systems.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call