Cargando…
Ordinary Differential Equations Analysis, Qualitative Theory and Control /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Springer Undergraduate Mathematics Series,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4471-6398-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220117222314.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140306s2014 xxk| s |||| 0|eng d | ||
| 020 | |a 9781447163985 |9 978-1-4471-6398-5 | ||
| 024 | 7 | |a 10.1007/978-1-4471-6398-5 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Logemann, Hartmut. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Ordinary Differential Equations |h [electronic resource] : |b Analysis, Qualitative Theory and Control / |c by Hartmut Logemann, Eugene P. Ryan. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a London : |b Springer London : |b Imprint: Springer, |c 2014. | |
| 300 | |a XIII, 333 p. 40 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 505 | 0 | |a Introduction -- Linear differential equations -- Introduction to linear control theory -- Nonlinear differential equations -- Stability and asymptotic behaviour -- Stability of feedback systems and stabilization. | |
| 520 | |a 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 students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Multibody systems. | |
| 650 | 0 | |a Vibration. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 650 | 2 | 4 | |a Multibody Systems and Mechanical Vibrations. |
| 700 | 1 | |a Ryan, Eugene P. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781447163992 |
| 776 | 0 | 8 | |i Printed edition: |z 9781447163978 |
| 830 | 0 | |a Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4471-6398-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||