Synopses & Reviews
This work applies the theory of nonnegative matrices to problems arising in positive differential and control systems. There is a concise review of requisite material in convex analysis and matrix theory, as well as a detailed review of linear differential and control systems. Exposition incorporates simple real-world dynamic models to better illustrate various aspects of the theory being developed. Contains exercises.
Table of Contents
Convex Sets.
Matrix Theory Background.
Differential and Control System Preliminaries.
Exponentially Nonnegative Matrices.
Extended M-Matrices.
Cone Reachability.
Applications to Feedback Control.
Controllability, Observability, and Realizability of Positive Control Systems.
References.
Index.