Turnpike theorem for an infinite horizon optimal control problem with time delay

MƏMMƏDOV M.

SIAM Journal on Control and Optimization, vol.52, no.1, pp.420-438, 2014 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 52 Say: 1
  • Nəşr tarixi: 2014
  • Doi nömrəsi: 10.1137/130926808
  • jurnalın adı: SIAM Journal on Control and Optimization
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.420-438
  • Açar sözlər: Asymptotic stability, Blood cell model, Optimal control, Time delay systems, Turnpike property
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

An optimal control problem for systems described by a special class of nonlinear differential equations with time delay is considered. The cost functional adopted could be considered as an analogue of the terminal functional defined over an infinite time horizon. The existence of optimal solutions as well as the asymptotic stability of optimal trajectories (that is, the turnpike property) are established under some quite mild restrictions on the nonlinearities of the functions involved in the description of the problem. Such mild restrictions on the nonlinearities allowed us to apply these results to a blood cell production model. © 2014 Society for Industrial and Applied Mathematics.