Abstract
In this chapter we study the structure of approximate solutions of an autonomous nonconcave discrete-time optimal control system with a compact metric space of states.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aubry S, Le Daeron PY (1983) The discrete Frenkel-Kontorova model and its extensions I. Physica D 8:381–422
Leizarowitz A (1985) Infinite horizon autonomous systems with unbounded cost. Appl Math Opt 13:19–43
Leizarowitz A, Mizel VJ (1989) One dimensional infinite horizon variational problems arising in continuum mechanics. Arch Ration Mech Anal 106:161–194
Marcus M, Zaslavski AJ (1999) The structure of extremals of a class of second order variational problems. Ann Inst H Poincaré Anal Non Linéaire 16:593–629
Zaslavski AJ (2006) Turnpike properties in the calculus of variations and optimal control. Springer, New York
Zaslavski AJ (2007) Turnpike results for a discrete-time optimal control systems arising in economic dynamics. Nonlinear Anal 67:2024–2049
Zaslavski AJ (2009) Two turnpike results for a discrete-time optimal control systems. Nonlinear Anal 71:902–909
Zaslavski AJ (2010) Stability of a turnpike phenomenon for a discrete-time optimal control systems. J Optim Theory Appl 145:597–612
Zaslavski AJ (2011) Turnpike properties of approximate solutions for discrete-time control systems. Commun Math Anal 11:36–45
Zaslavski AJ (2011) Structure of approximate solutions for a class of optimal control systems. J Math Appl 34:1–14
Zaslavski AJ (2011) Stability of a turnpike phenomenon for a class of optimal control systems in metric spaces. Numer Algebra Control Optim 1:245–260
Zaslavski AJ (2014) Turnpike properties of approximate solutions of nonconcave discrete-time optimal control problems. J Convex Anal 21:681–701
Zaslavski AJ (2014) Turnpike phenomenon and infinite horizon optimal control. Springer optimization and its applications. Springer, New York
Zaslavski AJ (2014) Structure of solutions of discrete time optimal control problems in the regions close to the endpoints. Set-Valued Var Anal 22:809–842
Zaslavski AJ (2015) Convergence of solutions of optimal control problems with discounting on large intervals in the regions close to the endpoints. Set-Valued Var Anal 23:191–204
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Zaslavski, A.J. (2017). Lagrange Problems. In: Discrete-Time Optimal Control and Games on Large Intervals. Springer Optimization and Its Applications, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-319-52932-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-52932-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52931-8
Online ISBN: 978-3-319-52932-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)