buchspektrum Internet-Buchhandlung

Neuerscheinungen 2014

Stand: 2020-02-01
Schnellsuche
ISBN/Stichwort/Autor
Herderstraße 10
10625 Berlin
Tel.: 030 315 714 16
Fax 030 315 714 14
info@buchspektrum.de

Hartmut Logemann, Eugene P. Ryan (Beteiligte)

Ordinary Differential Equations


Analysis, Qualitative Theory and Control
2014. xiii, 333 S. 40 SW-Abb. 235 mm
Verlag/Jahr: SPRINGER, BERLIN; SPRINGER, LONDON 2014
ISBN: 1-447-16397-4 (1447163974)
Neue ISBN: 978-1-447-16397-8 (9781447163978)

Preis und Lieferzeit: Bitte klicken


This book comprises a rigorous, self-contained treatment of initial-value problems for ordinary differential equations. It also includes an introduction to mathematical control theory as well as an introduction to the concept of input-to-state stability.
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.

The following topics are particularly emphasised:

- existence, uniqueness and continuation of solutions,
- continuous dependence on initial data,
- flows,
- qualitative behaviour of solutions,
- limit sets,
- stability theory,
- invariance principles,
- introductory control theory,
- feedback and stabilization.

The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability.

Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.
Introduction.- Linear differential equations.- Introduction to linear control theory.- Nonlinear differential equations.- Stability and asymptotic behaviour.- Stability of feedback systems and stabilization.