Injectivity analysis using interval analysis: Application to structural identifiability
نویسندگان
چکیده
This paper presents a new numerical algorithm based on interval analysis able to prove that a differentiable function f : A ⊂ R → R is injective. This algorithm also performs a partition of the domain A in subsets Ai where, for all x ∈ Ai, the cardinality of f−1(f(x)) is constant. In the context of parameter estimation, we show how this algorithm provides an efficient and numerical method to study the structural identifiability of parametric models.
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عنوان ژورنال:
- Automatica
دوره 44 شماره
صفحات -
تاریخ انتشار 2008