Ordinary Differential Equations Analysis, Qualitative Theory and Control /

• Main Authors: Logemann, Hartmut (Author), Ryan, Eugene P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Differential equations.; System theory.; Vibration.; Dynamical systems.; Dynamics.; Ordinary Differential Equations.; Systems Theory, Control.; Vibration, Dynamical Systems, 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...

Table of Contents:

• Introduction
• Linear differential equations
• Introduction to linear control theory
• Nonlinear differential equations
• Stability and asymptotic behaviour
• Stability of feedback systems and stabilization.