Jacobi fields in optimal control: Morse and Maslov indices
From MaRDI portal
Publication:2238812
DOI10.1016/j.na.2021.112608zbMath1476.58011arXiv1810.02960OpenAlexW3203508713MaRDI QIDQ2238812
Ivan Beschastnyi, Andrei A. Agrachev
Publication date: 2 November 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.02960
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12) Optimality conditions for problems involving ordinary differential equations (49K15) Spectral flows (58J30)
Related Items
Index theorems for graph-parametrized optimal control problems ⋮ Operators arising as second variation of optimal control problems and their spectral asymptotics ⋮ Functional determinants for the second variation ⋮ Jacobi fields in optimal control: one-dimensional variations ⋮ Morse index of block Jacobi matrices via optimal control
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