---

＜電子ブック＞
Ordinary Differential Equations : Analysis, Qualitative Theory and Control / by Hartmut Logemann, Eugene P. Ryan
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2014.
出版者	(London : Springer London : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XIII, 333 p. 40 illus : online resource
著者標目	*Logemann, Hartmut author Ryan, Eugene P author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied FREE:Differential Equations FREE:Systems Theory, Control FREE:Multibody Systems and Mechanical Vibrations
一般注記	Introduction -- Linear differential equations -- Introduction to linear control theory -- Nonlinear differential equations -- Stability and asymptotic behaviour -- Stability of feedback systems and stabilization 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 the 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 studentsof mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science HTTP:URL=https://doi.org/10.1007/978-1-4471-6398-5

 類似資料