Ordinary Differential Equations

Name: Ordinary Differential Equations
SKU: 22145338
Price: 116.00 NZD
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Analysis, Qualitative Theory and Control

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Paperback / softback

Series:

Springer Undergraduate Mathematics Series

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Description

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.

Author Biography:

Hartmut Logemann is a Professor in the Department of Mathematical Sciences, University of Bath, UK. He has taught a large variety of topics, including courses in complex analysis, control theory, engineering mathematics, Lyapunov theory, ordinary differential equations and semigroups of linear operators. His research interests are in mathematical systems and control theory with emphasis on infinite-dimensional systems, nonlinearity, positivity and sampled-data control. Eugene P. Ryan is Professor Emeritus in the Department of Mathematical Sciences, University of Bath, UK. He has lectured on a wide variety of topics to diverse audiences at both undergraduate and postgraduate levels, including courses on abstract analysis, control theory, nonsmooth optimization, ordinary differential equations, and mathematical methods for engineers & scientists. His research interests lie in mathematical systems and control theory, with emphasis on stabilization and optimization of nonlinear systems.

Release date NZ

March 19th, 2014

Author

Audience

Professional & Vocational

Illustrations

40 Illustrations, black and white; XIII, 333 p. 40 illus.

Pages

333

Series

Springer Undergraduate Mathematics Series

Dimensions

155x235x18

ISBN-13

9781447163978

Product ID

22145338

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