Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems(SpringerBriefs in Control, Automation and Robotics)

数学史

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552.5
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442.00
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发货周期:预计8-10周发货
作      者
出  版 社
出版时间
2015年07月24日
装      帧
ISBN
9783319188898
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页      码
140
开      本
25.4 x 15.5 x 1.5 cm
语      种
英文
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图书简介
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.
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