Optimal boundary control and boundary stabilization of hyperbolic systems /
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...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| সংস্থা লেখক: | |
| বিন্যাস: | বৈদ্যুতিন গ্রন্থ |
| ভাষা: | English |
| প্রকাশিত: |
Cham
Springer International Publishing
2015.
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| মালা: | SpringerBriefs in Electrical and Computer Engineering
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Click here to view the full text content |
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| 100 | 1 | |a Gugat, Martin. |e author | |
| 245 | 1 | 0 | |a Optimal boundary control and boundary stabilization of hyperbolic systems / |c by Martin Gugat. |
| 264 | 1 | |a Cham |b Springer International Publishing |c 2015. | |
| 300 | |a 1 online resource (VIII, 140 pages) 3 illustration, 2 illustration in colour. | ||
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| 490 | 1 | |a SpringerBriefs in Electrical and Computer Engineering |x 2191-8112 | |
| 505 | 0 | |a Introduction -- Systems that are Governed by the Wave Equation -- Exact Controllability -- Optimal Exact Control -- Boundary Stabilization -- Nonlinear Systems -- Distributions -- Index. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Partial differential equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Control engineering. | |
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| 776 | 0 | 8 | |i Printed edition |z 9783319188898 |
| 830 | 0 | |a SpringerBriefs in Electrical and Computer Engineering |x 2191-8112 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-18890-4 |y Click here to view the full text content |
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| 950 | |a Mathematics and Statistics (Springer-11649) | ||
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