"synopsis" may belong to another edition of this title.
This text is intended for a first-year graduate-level course on nonlinear systems or control. It may also be used for self study or reference by engineers and applied mathematicians. It is an outgrowth of my experience teaching the nonlinear systems course at Michigan State University, East Lansing. Students taking this course have had background in electrical engineering, mechanical engineering, or applied mathematics. The prerequisite for the course is a graduate-level course in linear systems, taught at the level of the texts by Antsaklis and Michel 9, Chen 35, Kailath 94), or Rugh 158. The linear systems prerequisite allowed me not to worry about introducing the concept of "state" and to refer freely to "transfer functions," "state transition matrices," and other linear system concepts. The mathematical background is the usual level of calculus, differential equations, and matrix theory that any graduate student in engineering or mathematics would have. In the Appendix, I have collected a few mathematical facts that are used throughout the book.
I have written the text in such a way that the level of mathematical sophistication increases as we advance from chapter to chapter. This is why the second chapter is written in an elementary context. Actually, this chapter could be taught at senior, or even junior, level courses without difficulty. This is also the reason I have split the treatment of Lyapunov stability into two parts. In Sections 4.1 through 4.3, I introduce the essence of Lyapunov stability for autonomous systems where I do not have to worry about technicalities such as uniformity, class k functions, etc. In Sections 4.4 through 4.6, I present Lyapunov stability in a more general setup that accommodates nonautonomous systems and allows for a deeper look into advanced aspects of the stability theory. The level of mathematical sophistication at the end of Chapter 4 is the level to which I like to bring the students, so that they can comfortably read the rest of the text.
There is yet a higher level of mathematical sophistication that is assumed in writing the proofs in the Appendix. These proofs are not intended for classroom use. They are included to make the text on one hand, self contained, and, on the other, to respond to the need or desire of some students to read such proofs, such as students continuing on to conduct Ph.D. research into nonlinear systems or control theory. Those students can continue to read the Appendix in a self-study manner.
This third edition has been written with the following goals in mind:
"About this title" may belong to another edition of this title.
Shipping:
US$ 18.73
From United Kingdom to U.S.A.
Book Description Condition: New. Seller Inventory # 20275243-n
Book Description Condition: New. In. Seller Inventory # ria9781292039213_new
Book Description PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # GB-9781292039213
Book Description Condition: new. 3rd. Book is in NEW condition. Satisfaction Guaranteed! Fast Customer Service!!. Seller Inventory # PSN1292039213
Book Description Paperback. Condition: Brand New. 3rd edition. 560 pages. 10.87x8.43x1.10 inches. In Stock. Seller Inventory # zk1292039213
Book Description Condition: New. . 2013. Pearson New International Edition. Paperback. . . . . Seller Inventory # V9781292039213
Book Description Taschenbuch. Condition: Neu. Neuware - For a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians. Seller Inventory # 9781292039213
Book Description Condition: New. . 2013. Pearson New International Edition. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9781292039213
Book Description Condition: New. InhaltsverzeichnisAll chapters conclude with Exercises.1. Introduction.  Nonlinear Models and Nonlinear Phenomena. Examples. 2. Second-Order Systems.  . Seller Inventory # 595554823