Introduction to dynamic systems : theory, models, and applications / David G. Luenberger.

Includes bibliographical references (pages 436-441) and index.

-- Difference and differential equations -- Linear algebra -- Linear state equations -- Linear systems with constant coefficients -- Positive linear systems -- Markov chains -- Concepts of control -- Analysis of nonlinear systems -- Some important dynamic systems -- Optimal control -- References -- Index.

"The objective of the book, simply stated, is to help one develop the ability to analyze real dynamic phenomena and dynamic systems. This objective is pursued through the presentation of three important aspects of dynamic systems: (1) the theory, which explores properties of mathematical representations of dynamic systems, (2) example models, which demonstrate how concrete situations can be translated into appropriate mathematical representations, and (3) applications, which illustrate the kinds of questions that might be posed in a given situation, and how theory can help resolve these questions. Although the highest priority is, appropriately, given to the orderly presentation of the theory, significant samples of all three of these essential ingredients are contained in the book." --Preface.