A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems
A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems
复制标题
自治系统解的激励条件持续性的几何表征
DOI：
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发表时间：
2017
影响因子：
6.8
通讯作者：
A. Astolfi
中科院分区：
文献类型：
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作者：
Alberto Padoan;G. Scarciotti;A. Astolfi
利用几何方法研究了由时不变、自治、线性和非线性系统产生的信号激励的持续性。一个秩条件被证明是等价的，在一定的假设下，持久性的激励的解决方案的考虑系统的类，无论是在离散时间和连续时间设置。秩条件本质上是几何的，并且对于概周期系统，可以先验地检查，即不需要明确地知道系统的解。通过简单的例子说明的思想和工具的意义。本文还讨论了利用输入输出数据进行模型降阶和反对称系统稳定性分析的应用。
The persistence of excitation of signals generated by time-invariant, autonomous, linear, and nonlinear systems is studied using a geometric approach. A rank condition is shown to be equivalent, under certain assumptions, to the persistence of excitation of the solutions of the class of systems considered, both in the discrete-time and in the continuous-time settings. The rank condition is geometric in nature and can be checked a priori, i.e. without knowing explicitly the solutions of the system, for almost periodic systems. The significance of the ideas and tools presented is illustrated by means of simple examples. Applications to model reduction from input–output data and stability analysis of skew-symmetric systems are also discussed.
影响因子：
6.8
作者：
Astolfi, Alessandro
通讯作者：
Astolfi, Alessandro