Ordinary Differential Equations - Analysis, Qualitative Theory and Control (Paperback, 2014 ed.)

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.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Springer Undergraduate Mathematics Series
Release date:	March 2014
First published:	2014
Authors:	Hartmut Logemann • Eugene P. Ryan
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	333
Edition:	2014 ed.
ISBN-13:	978-1-4471-6397-8
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration
LSN:	1-4471-6397-4
Barcode:	9781447163978

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