Type of Document	Master's Thesis
Author	Stoyanov, Miroslav Karolinov
Author's Email Address	stoyanov@vt.edu
URN	etd-06062006-155050
Title	Optimal Linear Feedback Control for Incompressible Fluid Flow
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Borggaard, Jeffrey T. Committee Chair Burns, John A. Committee Member Zietsman, Lizette Committee Member
Keywords	control feedback incompressible fluid DAE
Date of Defense	2006-05-24
Availability	unrestricted
Abstract Linear feedback control is considered for large systems of differential algebraic equations arising from discretization of saddle point problems. Necessary conditions are derived by applying the Maximum Principle and have the form of constrained Riccati equations. We consider two approaches for solving the feedback control problem as well as practical numerical methods. Numerical studies using examples derived from a constrained heat equation and Stokes equation confirms the effectiveness of the approaches we consider.
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