Set-Theoretic Methods in Control

• Main Authors: Blanchini, Franco (Author), Miani, Stefano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2008.
• Series: Systems & Control: Foundations & Applications
• Subjects: Engineering.; System theory.; Calculus of variations.; Applied mathematics.; Engineering mathematics.; Computational intelligence.; Control engineering.; Robotics.; Mechatronics.; Control.; Systems Theory, Control.; Control, Robotics, Mechatronics.; Calculus of Variations and Optimal Control; Optimization.; Appl.Mathematics/Computational Methods of Engineering.; Computational Intelligence.

This self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analy...

Table of Contents:

• Lyapunov and Lyapunov-like functions
• Convex sets and their representation
• Invariant sets
• Dynamic programming
• Set-theoretic analysis of dynamic systems
• Control of parameter-varying systems
• Control with time-domain constraints
• (Sub-)Optimal control
• Set-theoretic estimation
• Related topics.