论文标题
时间限制的增量输入/输出到州的稳定性
Time-Discounted Incremental Input/Output-to-State Stability
论文作者
论文摘要
目前的工作提供了两种替代方案，用于制定时间段的增量输入/输出对状态稳定性（I-IOSS），作为具有非添加干扰的一般非线性系统的合适可检测性概念。两种公式都与现有的I-IOSS概念有关，这些概念是特殊情况。先前为I-IOSS提供了足够的Lyapunov功能条件的结果，并且证明I-IOSS对于存在稳健稳定的全阶状态观察者所必需的I-IOSS被推广到对一般非线性系统的i-IOSS定义。对于线性系统，显示了显式I-I-I-I-IS界限。
The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations are related to existing i-IOSS notions which result as special cases. Previous results that provide a sufficient Lyapunov-function condition for i-IOSS and that prove i-IOSS to be necessary for the existence of robustly stable full-order state observers are generalized to the presented time-discounted i-IOSS definition for general nonlinear systems. For linear systems, explicit i-IOSS bounds are presented.
