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  DOI Prefix   10.20431


 

International Journal of Advanced Research in Physical Science
Volume 4, Issue 10, 2017, Page No: 23-26

Reacting Flows and Control Theory

S. H. Lam

Department of Mechanical and Aerospace Engineering, Princeton University,New Jersey,USA.

Citation :S. H. Lam, Reacting Flows and Control Theory International Journal of Advanced Research in Physical Science 2017,4(10) : 23-26.

Abstract

Model reduction of reacting flows looks for "slow manifolds" - by exploiting the fast/slow speed gap of the reaction system-so that some of the original ODEs can be replaced by algebraic equations. Control theory strives to determine some unknown control forces in a set of given ODEs in order to honor some user-specified behaviors- such as restricting the solutions to stay on some user-specified phase space surface (i.e. manifold). It is shown that some model reduction methodologies in reacting flows can be applied to control theory.


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