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- Title
Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems.
- Authors
Ašković, Veljko; Trélat, Emmanuel; Zidani, Hasnaa
- Abstract
Considering a general nonlinear dissipative finite dimensional optimal control problem in fixed time horizon $ T $, we establish a two-term asymptotic expansion of the value function as $ T\rightarrow \infty $. The dominating term is $ T $ times the optimal value obtained from the optimal static problem within the classical turnpike theory. The second term, of order unity, is interpreted as the sum of two values associated with optimal stabilization problems related to the turnpike.
- Subjects
TURNPIKE theory (Economics); ASYMPTOTIC expansions; TIME perspective; NONLINEAR functions; CONCORD
- Publication
Mathematical Control & Related Fields, 2024, Vol 14, Issue 4, p1
- ISSN
2156-8472
- Publication type
Academic Journal
- DOI
10.3934/mcrf.2024041