Get Ebooks Nonlinear Systems
Adopting an intuitive, yet rigorous approach, this work provides extensive coverage of nonlinear systems and control theory. Student-friendly language, an abundance of detailed, worked examples, and progressively more sophisticated mathematics make the text appropriate and accessible to a range of student interests and levels. This edition extends coverage of input-output stability, feedback linearization and small-theorem, and adds coverage of passivity approach, back stepping control design, sliding mode control, numerical construction of phase portraits, comparison principle, comparison method, input-output linearization, differential geometric approach, extended linearization and over 100 new problems.
Hardcover: 734 pages
Publisher: Prentice Hall; 2 Sub edition (December 14, 1995)
Language: English
ISBN-10: 0132280248
ISBN-13: 978-0132280242
Product Dimensions: 1.5 x 6.2 x 9.2 inches
Shipping Weight: 2.3 pounds
Average Customer Review: 4.3 out of 5 stars See all reviews (6 customer reviews)
Best Sellers Rank: #1,068,670 in Books (See Top 100 in Books) #122 in Books > Science & Math > Physics > Chaos Theory #149 in Books > Science & Math > Mathematics > Applied > Linear Programming #5153 in Books > Engineering & Transportation > Engineering > Electrical & Electronics
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.
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