- Title
- On a discounted notion of strict dissipativity
- Creator
- Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.
- Publisher Link
- http://dx.doi.org/10th IFAC Symposium on Nonlinear Control System. 10th IFAC Symposium on Nonlinear Control System: Proceedings [Presented in IFAC-PapersOnLine, Volume 49, Issue 18] (Monterey, CA 23-25 August, 2016) p. 247-252
- Relation
- Australian Research Council.DP160102138
- Publisher Link
- http://dx.doi.org/10.1016/j.ifacol.2016.10.171
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2016
- Description
- Recent results in the literature have provided connections between the so-called turnpike property, near optimality of closed-loop solutions using model predictive control schemes, and strict dissipativity. An important feature of these results is that strict dissipativity provides a checkable condition for the other two properties. These results relate to optimal control problems with undiscounted stage cost. Motivated by applications in economics, we consider optimal control problems with discounted stage cost and define a notion of discounted strict dissipativity. As in the undiscounted case, we show that discounted strict dissipativity provides a checkable condition for various properties of the solutions of the optimal control problem associated with the appropriately defined discounted available storage function.
- Subject
- nonlinear systems; dissipativity; optimal control
- Identifier
- http://hdl.handle.net/1959.13/1345467
- Identifier
- uon:29647
- Identifier
- ISSN:2405-8963
- Language
- eng
- Full Text
- Reviewed
- Hits: 761
- Visitors: 1133
- Downloads: 258
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 419 KB | Adobe Acrobat PDF | View Details Download |