Set-Theoretic Methods in Control

• Main Authors: Blanchini, Franco (Author), Miani, Stefano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 2nd ed. 2015.
• Series: Systems & Control: Foundations & Applications,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Calculus of variations.; Control engineering.; Robotics.; Automation.; Systems Theory, Control.; Control.; Calculus of Variations and Optimal Control; Optimization.; Dynamical Systems and Ergodic Theory.; Robotics and Automation.

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint.  This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal contro...

Table of Contents:

• Preface
• Introduction
• Lyapunov and Lyapunov-like Function
• 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
• Switching and Switched Systems
• (Sub-)Optimal Control
• Set-Theoretic Estimation
• Related Topics
• Appendix
• References
• Index.