The second edition of this monograph describes the set-theoretic
approach for the control and analysis of dynamic systems, both from a
theoretical and practical standpoint. This approach is linked to
fundamental control problems, such as Lyapunov stability analysis and
stabilization, optimal control, control under constraints, persistent
disturbance rejection, and uncertain systems analysis and synthesis.
Completely self-contained, this book provides a solid foundation of
mathematical techniques and applications, extensive references to the
relevant literature, and numerous avenues for further theoretical study.
All the material from the first edition has been updated to reflect the
most recent developments in the field, and a new chapter on switching
systems has been added. Each chapter contains examples, case studies,
and exercises to allow for a better understanding of theoretical
concepts by practical application. The mathematical language is kept to
the minimum level necessary for the adequate formulation and statement
of the main concepts, yet allowing for a detailed exposition of the
numerical algorithms for the solution of the proposed problems.
Set-Theoretic Methods in Control will appeal to both researchers and
practitioners in control engineering and applied mathematics. It is also
well-suited as a textbook for graduate students in these areas.
Praise for the First Edition
"This is an excellent book, full of new ideas and collecting a lot of
diverse material related to set-theoretic methods. It can be recommended
to a wide control community audience."
- B. T. Polyak, Mathematical Reviews
"This book is an outstanding monograph of a recent research trend in
control. It reflects the vast experience of the authors as well as their
noticeable contributions to the development of this field...[It] is
highly recommended to PhD students and researchers working in control
engineering or applied mathematics. The material can also be used for
graduate courses in these areas."
- Octavian Pastravanu, Zentralblatt MATH
