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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems/ by Martin Gugat.
作者:	Gugat, Martin.
面頁冊數:	VIII, 140 p. 3 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	System theory. -
電子資源:	https://doi.org/10.1007/978-3-319-18890-4
ISBN:	9783319188904

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

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems[electronic resource] /by Martin Gugat. - 1st ed. 2015. - VIII, 140 p. 3 illus., 2 illus. in color.online resource. - SpringerBriefs in Control, Automation and Robotics,2192-6786. - SpringerBriefs in Control, Automation and Robotics,.

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

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.

ISBN: 9783319188904

Standard No.: 10.1007/978-3-319-18890-4doiSubjects--Topical Terms:

566168
System theory.

LC Class. No.: Q295

Dewey Class. No.: 519

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
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