Turnpike properties of approximate solutions of autonomous variational problems
Alexander Zaslavski (2008)
Control and Cybernetics
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Displaying similar documents to “Existence and uniform boundedness of optimal solutions of variational problems.”
Turnpike properties of approximate solutions of autonomous variational problems
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We examine how the use of typical techniques from non-convex vector variational problems can help in understanding optimal design problems in conductivity. After describing the main ideas of the underlying analysis and providing some standard material in an attempt to make the exposition self-contained, we show how those ideas apply to a typical optimal desing problem with two different conducting materials. Then we examine the equivalent relaxed formulation to end up with a new problem...