Ordinary Differential Equations
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Ordinary Differential Equations

by Richard K. Miller, Anthony N. Michel
     
 

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ISBN-10: 048646248X

ISBN-13: 9780486462486

Pub. Date: 11/19/2007

Publisher: Dover Publications


Geared toward advanced undergraduates and graduate students in mathematics,  engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem.
Acclaimed by IEEE Control Systems

Overview


Geared toward advanced undergraduates and graduate students in mathematics,  engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem.
Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.

Product Details

ISBN-13:
9780486462486
Publisher:
Dover Publications
Publication date:
11/19/2007
Series:
Dover Books on Mathematics Series
Pages:
368
Product dimensions:
5.30(w) x 8.40(h) x 0.80(d)

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