On the ensemble observability problem for nonlinear systems
On the ensemble observability problem for nonlinear systems
复制标题
非线性系统的系综可观性问题
DOI：
10.1109/cdc.2015.7403214
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
F. Allgöwer
中科院分区：
文献类型：
--
作者：
Shen Zeng;F. Allgöwer
我们考虑非线性系统的集合可观测性问题，并从理论和实践的角度对其进行阐述。在系综可观测性问题中，我们希望根据非线性系统下输出密度的演化来重建初始状态密度。对于系综可观测性的理论问题，即初始状态密度重构的唯一性，我们讨论了可能的方法。一种方法基于集合可观测性问题与非线性层析成像问题之间的自然联系。通过这种表述，问题也变得适合计算解决方案。我们提出了一种计算机断层扫描代数重建技术的实现，该技术非常适合重建初始状态密度。我们通过一个模拟示例来说明该方法。
We consider the ensemble observability problem for nonlinear systems and illuminate it from both theoretical and practical perspectives. In the ensemble observability problem we would like to reconstruct a density of initial states from the evolution of the density of outputs under a nonlinear system. For the theoretical question of ensemble observability, i.e. the uniqueness of the reconstruction of the initial state density, we discuss possible approaches. One approach is based on the natural connection between the ensemble observability problem with nonlinear tomography problems. Through this formulation, the problem also becomes amenable to computational solutions. We present an implementation of Algebraic Reconstruction Techniques from computerized tomography which is well-suited for reconstructing the initial state density. We illustrate this method on a simulation example.
影响因子：
3
作者：
Hasenauer J;Waldherr S;Doszczak M;Radde N;Scheurich P;Allgöwer F
通讯作者：
Allgöwer F
DOI：
10.1109/cdc.2014.7039635
发表时间：
2014
期刊：
53rd IEEE Conference on Decision and Control
影响因子：
--
作者：
Waldherr;Allgöwer
通讯作者：
Allgöwer