Details
| Original language | English |
|---|---|
| Pages (from-to) | 45-53 |
| Number of pages | 9 |
| Journal | Systems and Control Letters |
| Volume | 90 |
| Publication status | Published - 1 Apr 2016 |
| Externally published | Yes |
Abstract
For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.
Keywords
- Discrete time optimal control, Strict dissipativity, Turnpike property
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- General Computer Science
- Engineering(all)
- Mechanical Engineering
- Engineering(all)
- Electrical and Electronic Engineering
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In: Systems and Control Letters, Vol. 90, 01.04.2016, p. 45-53.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the relation between strict dissipativity and turnpike properties
AU - Grüne, Lars
AU - Müller, Matthias A.
N1 - Funding information: The research was supported by DFG Grant GR1569/13-1.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.
AB - For discrete time nonlinear systems we study the relation between strict dissipativity and so called turnpike-like behavior in optimal control. Under appropriate controllability assumptions we provide several equivalence statements involving these two properties. The relation of strict dissipativity to an exponential variant of the turnpike property is also studied.
KW - Discrete time optimal control
KW - Strict dissipativity
KW - Turnpike property
UR - http://www.scopus.com/inward/record.url?scp=84959311480&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2016.01.003
DO - 10.1016/j.sysconle.2016.01.003
M3 - Article
AN - SCOPUS:84959311480
VL - 90
SP - 45
EP - 53
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
ER -