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New research details advancements in Pontryagin boundary value systems

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A new research paper published on arXiv details advancements in finite-horizon Pontryagin boundary value systems. The study focuses on horizon-uniform local branches and introduces a two-point endpoint inverse for linearization. Researchers verified this inverse using scaled stable-unstable boundary transversality, establishing an associated endpoint-corrected Green estimate. This framework ensures existence, uniqueness, and Lipschitz dependence, with constants independent of the horizon, applicable to smooth nonlinear endpoint maps and linear-quadratic systems. AI

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New research details advancements in Pontryagin boundary value systems

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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Pyuyi Chufeng Huang, Zikang Song, Xingshu Chen ·

    Symplectic Transversality and Endpoint Green Estimates for Finite-Horizon Pontryagin Systems

    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 in…

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