SIAM Journal on Control and Optimization, Volume 59, Issue 1, Page 614-634, January 2021.
There have been efforts to simplify analysis of a complex system by relating it to a simpler system through certain system relations. In this paper, we consider continuous-time systems related by a graph simulation relation and focus on preservation of input-output-to-state stability (IOSS) and its integral variant, integral IOSS (iIOSS). We establish that, under mild continuity and boundedness assumptions on some appropriately defined set-valued functions, the (i)IOSS property for the simulating system can lead to the (i)IOSS property for the original simulated system. The results thus demonstrate the possibility of inferring the (i)IOSS of a system by analyzing a potentially simpler system.

中文翻译：

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通过仿真关系关联的系统的输入输出状态稳定性

SIAM控制与优化杂志，第59卷，第1期，第614-634页，2021年1月
。人们一直在努力通过通过某些系统关系将复杂系统与较简单系统相关联来简化对复杂系统的分析。在本文中，我们通过图形仿真关系来考虑连续时间系统，并着重于保持输入输出状态稳定性（IOSS）及其积分变量IOSS（iIOSS）。我们确定，在对某些适当定义的集合值函数进行适度连续性和有界性假设的情况下，模拟系统的（i）IOSS属性可以导致原始模拟系统的（i）IOSS属性。结果因此证明了通过分析可能更简单的系统来推断系统的（i）IOSS的可能性。