Domain of Attraction Analysis and Control via SOS Programming /

• Main Author: Chesi, Graziano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Lecture Notes in Control and Information Sciences, 415
• Subjects: Engineering.; System theory.; Statistical physics.; Complexity, Computational.; Control engineering.; Control.; Systems Theory, Control.; Nonlinear Dynamics.; Complexity.

The stability of equilibrium points plays a fundamental role in dynamical systems. For nonlinear dynamical systems, which represent the majority of real plants, an investigation of stability requires the characterization of the domain of attraction (DA) of an equilibrium point, i.e., the set of init...

Table of Contents:

• SOS Polynomials
• Optimization with SOS Polynomials
• Preliminaries of Nonlinear Systems
• Domain of Attraction in Polynomial Systems
• Domain of Attraction in Uncertain Polynomial Systems
• Domain of Attraction in Non-polynomial Systems
• Domain of Attraction via Multiple Lyapunov Function
• Miscellaneous.