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<p>We establish necessary and sufficient solvability conditions for the interconnected operator system of Riccati equations in the Hilbert space. Iterative algorithms for finding approximate solutions of this system are constructed.</p>

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INTERCONNECTED SYSTEMS OF OPERATOR RICCATI EQUATIONS

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Oleg Iskra,
  • Andrii Ofitserov

摘要

We establish necessary and sufficient solvability conditions for the interconnected operator system of Riccati equations in the Hilbert space. Iterative algorithms for finding approximate solutions of this system are constructed.