论文标题
关于非线性延迟系统的输出稳定性不同概念的评论
Remarks on Different Notions on Output Stability for Nonlinear Delay Systems
论文作者
论文摘要
在监管机构理论和自适应控制中，在有限维系统中引入了有关输入到国家稳定性框架（ISS）中有关输出稳定性的几个概念。事实证明，这些输出稳定性概念本质上是不同的，反映了状态变量如何影响输出变量的瞬态行为的不同方式。在这项工作中，我们考虑了延迟系统的这些输出稳定性。我们的主要目标是说明各种概念与延迟系统如何相关，并为输出稳定性属性提供Razumikhin标准。主要结果对于开发延迟系统的输出稳定性属性的匡威Lyapunov定理至关重要
Motivated by the regulator theory and adaptive controls, several notions on output stability in the framework of input-to-state stability (iss) were introduced for finite-dimensional systems. It turned out that these output stability notions are intrinsically different, reflecting different manners of how state variables may affect the transient behavior of output variables. In this work, we consider these output stability properties for delay systems. Our main objective is to illustrate how the various notions are related for delay systems and to provide the Razumikhin criteria for the output stability properties. The main results are also critical in developing the converse Lyapunov theorems of the output stability properties for delay systems
