This article addresses a robust control problem of time‐varying stochastic systems with time‐delays. Through Linear Parameter Varying (LPV) modeling approach, the time‐varying parameters can be described via the convex combination. Therefore, the LPV stochastic system is interpreted by a weighting function and multiplicative noised linear systems. Furthermore, stabilization problem for the systems is investigated via Gain‐Scheduled (GS) technique to increase robustness. For the problem, some sufficient conditions are derived by Integral Lyapunov‐Krasovskii Function (ILKF) such that the conservatism caused by derivative of weighting function is ignored. Besides, an Iterative Linear Matrix Inequality algorithm is used to determine the auxiliary variable such that the problem can be solved via the convex calculation. Finally, some simulations are provided to demonstrate effectiveness and applicability of this article.

中文翻译：

---

具有凸多项式不确定性的随机系统的时滞相关鲁棒控制

本文讨论具有时滞的时变随机系统的鲁棒控制问题。通过线性参数变化（LPV）建模方法，可以通过凸组合描述时变参数。因此，LPV随机系统由加权函数和乘性噪声线性系统解释。此外，通过增益调度（GS）技术研究了系统的稳定性问题，以提高鲁棒性。对于该问题，积分李雅普诺夫-克拉索夫斯基函数（ILKF）导出了一些充分条件，从而忽略了由加权函数导数引起的保守性。此外，使用迭代线性矩阵不等式算法确定辅助变量，从而可以通过凸计算解决问题。最后，