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<p>In this paper, we demonstrate that the exact controllability concept is inappropriate for stochastic systems by proving the nonfulfillment of the coercivity inequality. As a result, we explore the concept of <i>C</i>-controllability, which was introduced as a weaker alternative to exact controllability when the controllability problem was first extended to stochastic systems. We establish a sufficient condition for <i>C</i>-controllability in finite-dimensional semilinear stochastic systems driven by a Wiener process and illustrate the result with several examples.</p>

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Controllability of stochastic semilinear systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月14日

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  • Agamirza E. Bashirov,
  • Arzu Ahmadova

摘要

In this paper, we demonstrate that the exact controllability concept is inappropriate for stochastic systems by proving the nonfulfillment of the coercivity inequality. As a result, we explore the concept of C-controllability, which was introduced as a weaker alternative to exact controllability when the controllability problem was first extended to stochastic systems. We establish a sufficient condition for C-controllability in finite-dimensional semilinear stochastic systems driven by a Wiener process and illustrate the result with several examples.