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<p>We consider the Lurie system with monotone scalar nonlinearity and single locally stable equilibrium. Difficulties in determining the exact global stability boundary are shown, and approaches to find its upper and lower estimates are proposed.</p>

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HIDDEN BOUNDARY OF GLOBAL STABILITY OF ONE SYSTEM WITH MONOTONE NONLINEARITY IN THE HURWITZ SECTOR

  • 期刊论文

  • 发表日期：

    2026年6月19日

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  • Igor Burkin,
  • Oksana Kuznetsova

摘要

We consider the Lurie system with monotone scalar nonlinearity and single locally stable equilibrium. Difficulties in determining the exact global stability boundary are shown, and approaches to find its upper and lower estimates are proposed.