This paper builds upon and expands the findings presented in Liang et al. (2021). Our focus lies in scenarios where initial states and model parameters remain unknown. In contrast to prior research, we consider multiple measurement channels, addressing the challenge of global exponential stabilization towards a chosen target subspace. Under quantum non-demolition conditions, our analysis establishes essential tools for achieving feedback stabilization. Furthermore, we explore the utilization of a simplified filter as a viable alternative to full state estimator. While the effectiveness of this simplified filter was numerically examined in Cardona et al. (2020), our paper offers a comprehensive proof of its applicability in feedback stabilization. Furthermore, our analysis may serve as an inspiration for demonstrating the validation of the robust feedback stabilization through generic approximate filters.

中文翻译：

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开放量子系统反馈稳定的模型鲁棒性

本文建立在梁等人的研究成果的基础上并对其进行了扩展。 （2021）。我们的重点在于初始状态和模型参数仍然未知的场景。与之前的研究相比，我们考虑了多个测量通道，解决了选定目标子空间的全局指数稳定的挑战。在量子非破坏条件下，我们的分析建立了实现反馈稳定的基本工具。此外，我们探索使用简化滤波器作为全状态估计器的可行替代方案。虽然 Cardona 等人对这种简化过滤器的有效性进行了数值检验。 （2020），我们的论文全面证明了其在反馈稳定方面的适用性。此外，我们的分析可以为展示通过通用近似滤波器验证鲁棒反馈稳定性提供启发。