Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems

1. Auflage. Softcover version of original hardcover Auflage 1991
ISBN: 978-90-481-4085-5
Verlag: Springer Netherlands

Buch, Englisch, 172 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Mathematics and Its Applications

One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all".' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics.'; 'One service logic has rendered com puter science.'; 'One service category theory has rendered mathematics.'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Zielgruppe

Research

Autoren/Hrsg.

Lakshmikantham, V.

Sivasundaram, S.

Matrosov, V.M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Mikroprozessoren
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Why several Lyapunov functions?.- 2. Refinements.- 3. Extensions.- 4. Applications.- References.