Genericity Results

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

Chapter Chapter 7 in Turnpike Theory of Continuous-Time Linear Optimal Control Problems, 2015, pp 209-231 from Springer

Abstract: Abstract In this chapter we continue to study the class of optimal control problems studied in Chaps. 3 and 4. There we established the convergence of approximate solutions on large intervals in the regions close to the end points. In this chapter we show that for a typical (in the sense of Baire category) integrand the values of approximate solutions at the end points converge to the limit which is a unique solution of the corresponding minimization problem associated with the integrand.

Keywords: Baire Category; Approximate Solution; Large Interval; Trajectory-control Pair; Infinite Horizon Optimal Control Problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-19141-6_7

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DOI: 10.1007/978-3-319-19141-6_7

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