State isomorphism approach to global identifiability of nonlinear systems

State isomorphism approach to global identifiability of nonlinear systems
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DOI:
10.1109/9.21105
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发表时间:
1989-02
影响因子:
6.8
通讯作者:
S. Vajda;H. Rabitz
S. Vajda;H. Rabitz
中科院分区:
计算机科学2区
文献类型:
--
作者:
S. Vajda;H. Rabitz

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通过构造保持参数系统结构的局部状态同构族,研究了非线性系统的全局确定性可辨识性。该方法对齐次系统进行了简化,其中这些同构被证明是线性的,从而将可辨识性问题简化为求解一组代数方程。已知的线性和双线性系统全局可辨识的条件是这些结果的特殊情况。>
Global deterministic identifiability of nonlinear systems is studied by constructing the family of local state isomorphisms that preserve the structure of the parametric system. The method is simplified for homogeneous systems, where such isomorphisms are shown to be linear, thereby reducing the identifiability problem to solving a set of algebraic equations. The known conditions for global identifiability in linear and bilinear systems are special cases of these results. >