In human immunodeficiency virus (HIV) infection, many factors may influence the counts of healthy cells, immune cells and viruses. Drug treatment design for the HIV dynamic system is a valuable subject to be studied. This study considers an HIV dynamic system model with some unknown parameters and unmeasurable CD8 + T cell count and proposes a switching control strategy to force all states of the system to achieve a healthy status. It is a switching form with two different drug therapies and is designed based on the Lyapunov function theory such that the states of the HIV system approach the health equilibrium asymptotically without the influence of unknown parameters and unmeasurable cell counts. The values of all states and drug concentrations are assured to be positive in the control process so that the control strategy can satisfy the actual treatment requirements. Finally, a numerical example is illustrated to show the effectiveness of the proposed control strategy.

中文翻译：

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具有未知参数的 HIV 动态系统的切换控制策略。

在人类免疫缺陷病毒 (HIV) 感染中，许多因素可能会影响健康细胞、免疫细胞和病毒的数量。HIV动态系统的药物治疗设计是一个有价值的研究课题。本研究考虑了具有一些未知参数和不可测量的CD8 + T细胞计数的HIV动态系统模型，并提出了一种切换控制策略，以迫使系统的所有状态达到健康状态。它是一种具有两种不同药物疗法的转换形式，基于 Lyapunov 函数理论设计，使得 HIV 系统的状态逐渐接近健康平衡，而不受未知参数和无法测量的细胞计数的影响。在控制过程中保证所有状态和药物浓度的值都是正的，这样控制策略才能满足实际的治疗要求。最后，一个数值例子说明了所提出的控制策略的有效性。