Bibliograph

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems, by Martin Gugat

Type

Label

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems, by Martin Gugat

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

Medium

electronic resource

Oclc number

1022032795

Responsibility statement

by Martin Gugat

Series statement

SpringerBriefs in Electrical and Computer Engineering,, 2191-8112

Summary

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 author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization

Table Of Contents

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

Contributor