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Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems (SpringerBriefs in Optimization) by Alexander J. Zaslavski (auth.) is a nonfiction available to read on EtoBox.
What is Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems (SpringerBriefs in Optimization) about?
The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals; these results apply to the so-called turnpike property of the optimal control problems. By encompassing the so-called turnpike property the approximate solutions of the problems are determined primarily by the objective function and are fundamentally independent of the choice of interval and endpoint conditions, except in regions close to the endpoints. This book also explores the turnpike phenomenon for two large classes of autonomous optimal control problems. It is illustrated that the turnpike phenomenon is stable for an optimal control problem if the corresponding infinite horizon optimal control problem possesses an asymptotic turnpike property. If an optimal control problem belonging to the first class possesses the turnpike property, then the turnpike is a singleton (unit set). The stability of
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- Author
- Alexander J. Zaslavski (auth.)
- Publisher
- Springer International Publishing : Imprint : Springer
- Published
- 2014
- Language
- EN
- ISBN
- 9783319080338
- Category
- nonfiction
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