论文标题
在干扰下非线性系统增量稳定性的熵
Entropy for incremental stability of nonlinear systems under disturbances
论文作者
论文摘要
引入了$ \ varepsilon $ incremental实践稳定性和在干扰下确定性非线性系统的增量稳定性的熵概念。熵概念是通过状态空间中的一组点构造的，该点诱导所需的稳定性属性，称为近似集。我们提供系统的条件，以确保近似集为有限。计算两个估计熵的下限和上限。使用量化和时间样本测量值，有限近似集合的构建有限近似集合在干扰下诱导系统估计算法。
Entropy notions for $\varepsilon$-incremental practical stability and incremental stability of deterministic nonlinear systems under disturbances are introduced. The entropy notions are constructed via a set of points in state space which induces the desired stability properties, called an approximating set. We provide conditions on the system which ensures that the approximating set is finite. Lower and upper bounds for the two estimation entropies are computed. The construction of the finite approximating sets induces a robust state estimation algorithm for systems under disturbances using quantized and time-samples measurements.
