- Title
- Turnpike theorem for an infinite horizon optimal control problem with time delay
- Creator
- Mammadov, Musa
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/69421
- Identifier
- vital:5880
- Identifier
-
https://doi.org/10.1137/130926808
- Identifier
- ISSN:0363-0129
- Abstract
- 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.
- Relation
- SIAM Journal on Control and Optimization Vol. 52, no. 1 (2014), p. 420-438
- Rights
- © 2014, Society for Industrial and Applied Mathematics
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0906 Electrical and Electronic Engineering; 0913 Mechanical Engineering; Asymptotic stability; Blood cell model; Optimal control; Time delay systems; Turnpike property; Blood cells; Existence of optimal solutions; Infinite time horizon; Nonlinear differential equation; Optimal control problem; Optimal controls; Time-delay systems; Blood; Cells; Differential equations; Optimal control systems; Time delay
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