arXiv:2606.17762v1 Announce Type: cross Abstract: We study horizon-uniform local branches of finite-horizon discrete-time Pontryagin boundary value systems after smooth control elimination. The central input is a two-point endpoint inverse for the linearization. We verify this inverse from scaled stable--unstable boundary transversality, prove the associated endpoint-corrected Green estimate, and combine it with weighted contractions to obtain existence, uniqueness, Lipschitz dependence, and first-order expansions with constants independent of the horizon. The framework covers smooth nonlinear
This is a pre-print academic publication from arXiv, a common platform for early dissemination of scientific research in mathematics and computer science.
This highly technical paper on control systems is relevant for specialized researchers in mathematics and AI, but lacks immediate broader strategic importance for institutional intelligence.
No immediate or direct changes are introduced by this theoretical mathematical paper.
Further theoretical understanding in discrete-time Pontryagin boundary value systems is advanced.
Potentially, these theoretical insights might contribute to more robust control algorithms in highly specialized AI applications in the distant future.
Extremely long-term, this could marginally improve the theoretical underpinnings of future autonomous systems if practical applications emerge.
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