Nonlinear Systems (3rd Edition) [Hardcover]

Hassan K. Khalil (Author)

Book Description

ISBN-10: 0130673897 | ISBN-13: 978-0130673893 | Publication Date: December 28, 2001 | Edition: 3

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years—new in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and observers. For use as a self-study or reference guide by engineers and applied mathematicians.

Editorial Reviews

From the Publisher

This best-selling book adopts an intuitive, yet rigorous approach, this text provides extensive coverage of nonlinear systems and control theory. Student-friendly language, an abundance of exceptionally detailed, worked examples, and progressively more sophisticated mathematics throughout make the text appropriate and accessible to a range of student interests and levels. --This text refers to an out of print or unavailable edition of this title.

From the Back Cover

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years—new in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and observers. For use as a self-study or reference guide by engineers and applied mathematicians.

See all Editorial Reviews

Product Details

• Hardcover: 750 pages
• Publisher: Prentice Hall; 3 edition (December 28, 2001)
• Language: English
• ISBN-10: 0130673897
• ISBN-13: 978-0130673893
• Product Dimensions: 9.5 x 7 x 1.3 inches
• Shipping Weight: 2.5 pounds (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars  See all reviews (11 customer reviews)
• Amazon Best Sellers Rank: #53,094 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

15 of 16 people found the following review helpful:

4.0 out of 5 stars One of the very best texts currently on the market, March 30, 2000

By A Customer

This review is from: Nonlinear Systems (Hardcover)

Hassan Khalil's book (already in its second edition) has become a best-seller. Easy to understand why.

At the same time, the text manages to be very readable and fairly sophisticated. In fact, it is not very usual for Engineering texts to display such an advanced level of mathematical rigor. As a result, however, it is not entirely true that the book can be easily followed by undergrads. A reasonable degree of familiarity with -- or, rather, dexterity in -- the basics of Mathematical Analysis (with some topological underpinnings) is required. But, since the book is filled with theorems and rigorous proofs galore, grad students and research engineers with a strong penchant for Math are bound to welcome it as a bona fide blessing!

Unfortunately, it must be said that the book fails to make the 5-star rating for two reasons. First off, it is perhaps a bit too Electrical-Engineering-geared, nearly ignoring examples from other fields. Secondly, its treatment of time-varying systems is rather scanty, at best, basically relying on what can be ultimately traced to the intelectually dissatisfying time-freezing approach. (This is probably justifiable, since it would otherwise imply an additional 40-50 pages to make room for operator theory and Hilbert spaces, as is done, e.g., in the book by Feintuch & Saeks.)

Nevertheless, Prof. Hassan's is by far one of the best texts currently on the market.

20 of 23 people found the following review helpful:

4.0 out of 5 stars An excellent textbook, August 8, 2000

By 

Graduate instructor (Brazil) - See all my reviews

This review is from: Nonlinear Systems (Hardcover)

This is an excellent textbook, outdoing, AS SUCH, the books by Vidyasagar, Isidori, and Rugh, as well as both of Minorsky's related classics. It is well written, well balanced, making extensive use of a fairly sophisticated language (not too abstract but certainly far from archaic), and features a plethora of exercises of various difficulty levels. Appendix A, presenting detailed, careful proofs of 21 theorems and lemmas is a definite "must." This appendix alone is worth the (sour) price of the book, making it today's "text of choice" when it comes to teaching courses. (Students should be familiar with ALL of them!)

The topics dealt with, while, for the most part, pretty standard, are appropriate for a first graduate course on nonlinear systems, as approached from the Control Engineering viewpoint. There's a bit of just about everything that's important in present-day studies of such systems: mathematical foundations, stability analysis, periodic solutions, averaging & pertubations (both regular and singular), feedback control & linearization, and Lyapunov-based design, including adaptive control. Even H-infinity is touched in passing!

Unfortuantely, the famous conjectures by Aizerman and Kalman and Letov's contributions do not constitute a central interest in the book. Lur'e's problem, on the other hand, IS mentioned.

The author provides a 195-title reference list and an effort to include recent texts is apparent. However, a few serious omissions do occur. For instance, Russian publications are nearly non-existing on said list, and Desoer's famous 1969 paper on the stability of slowly-varying systems is not mentioned explicitly. But it is not entirely accurate to say that Khalil's treatment of time-varying systems is centered around time-freezing techniques. He does, indeed, present one or two examples to that effect. But out of 734 pages, no less than 16 are dedicated to several aspects relating to stability of time-varying systems, most of which can be directly mapped back to Desoer's theorem.

By and large, this book is -- and shall remain for some time to come -- the best text for introductory graduate courses in Nonlinear Systems.

13 of 15 people found the following review helpful:

5.0 out of 5 stars A necessary learning tool for Graduate Control engineers, April 24, 1999

By A Customer

This review is from: Nonlinear Systems (Hardcover)

Being a Ph.D. canidate in Control Theory at Georgia Tech, I am familiar with the essential tools needed to be sucessful in advanced control engineering. This book covers the entire spectrum of topics in control theory presented at many universities around the country. It is presented with a strong mathematical foundation and has many illustrative examples. Subjects covered include the fundamental properties of differential equations, basic and advanced stability theory, feedback control and the feedback linearization/computed torque method which is a very popular approach to nonlinear design. It also contains introductions to newer techniques such as adaptive and sliding mode control. In my studies at GT, i have more than once been plesently suprised to find tools in this book that i didnt expect to find there. For example, chapters 5-9 cover the improtant results that i was exposed to in a 3 course graduate level sequence in ODE's from the math department!!

This book is sugessted for any serious student of control theory and it is recommended that the reader be exposed to at least one introductory real analysis course.