Further Results on the Uniform Observability of Discrete-Time Nonlinear Systems
Further Results on the Uniform Observability of Discrete-Time Nonlinear Systems
复制标题
离散时间非线性系统一致可观性的进一步结果
DOI：
10.1109/tac.2010.2041983
复制
发表时间：
2010
影响因子：
6.8
通讯作者：
S. Hanba
中科院分区：
文献类型：
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作者：
S. Hanba
在本技术说明中，研究了基于观测映射（窗口）的内射性，其雅可比矩阵的满秩性和K函数的离散时间非线性系统的一致可观测性概念之间的关系。证明了一个系统在观测映射的内射性意义下是一致可观测的当且仅当它在某些K函数意义下是一致可观测的。
In this technical note, the relation between notions of uniform observability of discrete-time nonlinear systems based on injectivity of an observation map (window), the full-rankness of its Jacobian, and a K-function is investigated. It is proven that a system is uniformly observable in the sense of injectivity of the observation map (together with the full-rankness of its Jacobian) if and only if it is so in some K-function senses.