Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

• Main Author: Gugat, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Mathematics.; Partial differential equations.; System theory.; Calculus of variations.; Mathematical optimization.; Control engineering.; Systems Theory, Control.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Control.; Continuous Optimization.

This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary.  The wave equation is used as a typical example of a linear system, through which the...

Table of Contents:

• Introduction
• Systems that are Governed by the Wave Equation
• Exact Controllability
• Optimal Exact Control
• Boundary Stabilization
• Nonlinear Systems
• Distributions
• Index.