Ordinary Differential Equations: Analysis, Qualitative Theory and Control
Hartmut Logemann
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Description for Ordinary Differential Equations: Analysis, Qualitative Theory and Control
Paperback. Ordinary Differential Equations Series: Springer Undergraduate Mathematics Series. Num Pages: 333 pages, 40 black & white illustrations, biography. BIC Classification: GPFC; PBKJ; TGMD4. Category: (P) Professional & Vocational. Dimension: 161 x 241 x 20. Weight in Grams: 532.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer London Ltd
Format
Paperback
Publication date
2014
Series
Springer Undergraduate Mathematics Series
Condition
New
Weight
532g
Number of Pages
333
Place of Publication
England, United Kingdom
ISBN
9781447163978
SKU
V9781447163978
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Hartmut Logemann
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 ... Read more
Reviews for Ordinary Differential Equations: Analysis, Qualitative Theory and Control
From the book reviews: This new textbook on ordinary differential equations offers a surprisingly fresh approach to the subject by incorporating an introduction to control theory into a rigorous treatment of initial value problems. The work is written at an intermediate level and aimed at students of mathematics and mathematically-oriented engineering. ... The book is characterized ... Read more