Mathematical Control Theory: Deterministic Finite Dimensional Systems

This textbook introduces the basic concepts and results of mathematical control and system theory. It presents its subject in a self-contained and elementary fashion. It is geared to an audience consisting of mathematically mature advanced undergraduate or beginning graduate students.

It covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

In addition, it can be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses.