Uniform Boundedness of Approximate Solutions of Variational Problems

Alexander J. Zaslavski
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Alexander J. Zaslavski: Technion - Israel Institute of Technology

Chapter Chapter 10 in Nonconvex Optimal Control and Variational Problems, 2013, pp 285-304 from Springer

Abstract: Abstract In this chapter, given an $$x_{0} \in {R}^{n}$$ we study the infinite horizon problem of minimizing the expression $$\int _{0}^{T}f(t,x(t),x^{\prime}(t))dt$$ as T grows to infinity where $$x : [0,\infty ) \rightarrow {R}^{n}$$ satisfies the initial condition x(0) = x 0. We analyze the existence and properties of approximate solutions for every prescribed initial value x 0.

Keywords: Approximate Solution; Uniform Boundedness; Variational Problem; Infinite Horizon Problem; Elementary Exercise (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-7378-7_10

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DOI: 10.1007/978-1-4614-7378-7_10

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