On representation formulas for optimal control: A Lagrangian perspective
نویسندگان
چکیده
In this paper, we study representation formulas for finite-horizon optimal control problems with or without state constraints, unifying two different viewpoints: the Lagrangian and dynamic programming (DP) frameworks. a recent work [1], generalized Lax formula is obtained via DP constraints nonlinear systems. We revisit from perspective to provide unified framework understanding implementing nontrivial of value function. Our simple derivation makes direct use theory Hamilton-Jacobi (HJ) equations. also discuss rigorous way construct an using $\delta$-net, as well numerical scheme controller synthesis convex optimization.
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ژورنال
عنوان ژورنال: Iet Control Theory and Applications
سال: 2022
ISSN: ['1751-8644', '1751-8652']
DOI: https://doi.org/10.1049/cth2.12329