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On approximation and optimal control...

Virginia Polytechnic Institute and State University.

On approximation and optimal control of nonnormal distributed parameter systems.

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	On approximation and optimal control of nonnormal distributed parameter systems./
作者:	Vugrin, Eric D.
面頁冊數:	84 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0785.
Contained By:	Dissertation Abstracts International65-02B.
標題:	Mathematics. -
電子資源:	Download fulltext (下載全文)
ISBN:	0496710427

On approximation and optimal control of nonnormal distributed parameter systems.
Vugrin, Eric D.

On approximation and optimal control of nonnormal distributed parameter systems. - 84 p.

Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0785.

Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2004.

For more than 100 years, the Navier-Stokes equations and various linearizations have been used as a model to study fluid dynamics. Recently, attention has been directed toward studying the nonnormality of linearized problems and developing convergent numerical schemes for simulation of these systems. Numerical schemes for optimal control problems often require additional properties that may not be necessary for simulation; these properties can be critical when studying nonnormal problems. This research is concerned with approximating infinite dimensional optimal control problems with nonnormal system operators. We examine three different finite element methods for a specific convection-diffusion equation and prove convergence of the infinitesimal generators. Additionally, for two of these schemes, we prove convergence of the associated feedback gains. We apply these three schemes to control problems and compare the performance of all three methods.

ISBN: 0496710427Subjects--Topical Terms:

146772
Mathematics.

On approximation and optimal control of nonnormal distributed parameter systems.
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245 1 0 $a On approximation and optimal control of nonnormal distributed parameter systems.
300 $a 84 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0785.
500 $a Chair: John Burns.
502 $a Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2004.
520 $a For more than 100 years, the Navier-Stokes equations and various linearizations have been used as a model to study fluid dynamics. Recently, attention has been directed toward studying the nonnormality of linearized problems and developing convergent numerical schemes for simulation of these systems. Numerical schemes for optimal control problems often require additional properties that may not be necessary for simulation; these properties can be critical when studying nonnormal problems. This research is concerned with approximating infinite dimensional optimal control problems with nonnormal system operators. We examine three different finite element methods for a specific convection-diffusion equation and prove convergence of the infinitesimal generators. Additionally, for two of these schemes, we prove convergence of the associated feedback gains. We apply these three schemes to control problems and compare the performance of all three methods.
520 $a This work was funded in part by the Air Force Office of Scientific Research under grant number F49620-03-1-0243.
590 $a School code: 0247.
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710 2 0 $a Virginia Polytechnic Institute and State University. $3 1000005536
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