Nonnegative Matrices in Dynamic Systems

Nonnegative Matrices in Dynamic Systems


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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.

Product Details

ISBN-13: 9780471620747
Publisher: Wiley
Publication date: 10/31/1989
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #3
Pages: 192
Product dimensions: 1.65(w) x 2.32(h) x 0.63(d)

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.



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