Ordinary Differential Equations

Ordinary Differential Equations

Author: Hartmut Logemann

Publisher: Springer

ISBN: 9781447163985

Category: Mathematics

Page: 333

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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.
Ordinary Differential Equations
Language: un
Pages: 333
Authors: Hartmut Logemann, Eugene P. Ryan
Categories: Mathematics
Type: BOOK - Published: 2014-07-08 - Publisher: Springer

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
Differential Equations and Control Theory
Language: un
Pages: 544
Authors: Z. Deng, Z. Liang, G. Lu, S. Ruan
Categories: Mathematics
Type: BOOK - Published: 2020-11-26 - Publisher: CRC Press

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential
Recent Advances in Differential Equations and Control Theory
Language: un
Pages:
Authors: Concepción Muriel
Categories: Mathematics
Type: BOOK - Published: - Publisher: Springer Nature

Books about Recent Advances in Differential Equations and Control Theory
Differential Equations and Control Theory
Language: un
Pages: 544
Authors: Z. Deng, Z. Liang, G. Lu, S. Ruan
Categories: Mathematics
Type: BOOK - Published: 1995-11-30 - Publisher: CRC Press

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential
Qualitative Problems For Differential Equations And Control Theory
Language: un
Pages: 344
Authors: Corduneanu Constantin
Categories: Mathematics
Type: BOOK - Published: 1995-10-06 - Publisher: World Scientific

The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be