Introduction to Dynamic Systems Theory, Models, and Applications [Paperback]

Integrates the traditional approach to differential equations with the modern systems and control theoretic approach to dynamic systems, emphasizing theoretical principles and classic models in a wide variety of areas. Provides a particularly comprehensive theoretical development that includes chapters on positive dynamic systems and optimal control theory. Contains numerous problems.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.

DAVID G. LUENBERGER is a professor in the School of Engineering at Stanford University. He has published four textbooks and over 70 technical papers. Professor Luenberger is a Fellow of the Institute of Electrical and Electronics Engineers and recipient of the 1990 Bode Lecture Award. His current research is mainly in investment science, economics, and planning.