PulseAugur
EN
LIVE 11:23:19

New research details advancements in Pontryagin boundary value systems

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

RANK_REASON The cluster contains a single arXiv paper on a mathematical topic. [lever_c_demoted from research: ic=1 ai=0.1]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

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…