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Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach, by Wassim M. Haddad, Vijaya Sekhar Chellaboina
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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.
Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
- Sales Rank: #404183 in Books
- Published on: 2008-02-17
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 2.00" w x 7.01" l, 4.69 pounds
- Binding: Hardcover
- 944 pages
Review
Wassim Haddad, Winner of the 2014 Pendray Aerospace Literature Award, American Institute of Aeronautics and Astronautics
"The book is lucid and well written and contains numerous worked examples for specific applications to important classes of systems as well as numerous problems and suggestions for further study at the end of the main chapters. This book will be an excellent source of reference materials for graduate students of applied mathematics, control theorists and engineers studying the stability theory of dynamical systems and controls. It will also be a rich source of materials for self study by researchers and practitioners interested in systems theory of engineering, controls, computer science, chemistry, life sciences and economics."--Olusola Akinyele, Mathematical Reviews
From the Back Cover
"An excellent textbook. This is an up-to-date, comprehensive, and extremely well presented exposition of modern methods in nonlinear control systems. It contains every topic I would like to see in such a book. The writing is superb and the style is clear and lucid. This is a highly welcome addition to the literature."--Frank L. Lewis, University of Texas, Arlington
"A significant contribution. This book can be used as a textbook for engineering students and others, and it is useful to researchers because it contains up-to-date methods and information. As far as I know, there is no one book that covers all the material contained in this book."--V. Lakshmikantham, Florida Institute of Technology
About the Author
Wassim M. Haddad is professor of aerospace engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is associate professor of mechanical, aerospace, and biomedical engineering at the University of Tennessee. They are the coauthors of "Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control" and "Thermodynamics: A Dynamical Systems Approach" (both Princeton).
Most helpful customer reviews
12 of 12 people found the following review helpful.
a masterpiece
By J. R. M. López
This is a monumental work. If you're dealing with dynamical systems this is a must. Of course, it's full of maths but this is not a book intended for the beginner. It assumes a solid knowledge of algebra and analysis. In some aspects it's a true encyclopaedic work. It contains an excellent statement of Zubov's theorem that I haven't found nowhere else.
4 of 10 people found the following review helpful.
Only one word: Excellent
By DRY
It is just an excellent book. It is the best in its area. I strongly suggest this book to any control scientist and engineer.
0 of 3 people found the following review helpful.
Two Stars
By JAIME SILVA LLONTOP
I returned the book because the some pages where glued together
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