2025/12/26 by V. S. Shalgin, Shalgin, V. S.
Computer Science · Engineering · #34A55 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis #Matrix Theory and Algorithms #Stability and Controllability of Differential Equations
paper · doi:10.48550/arxiv.2512.22053
openalex publication_date 2025/12/26 · openalex created_date 2025/12/30 · openalex updated_date 2026/07/28
In this paper, we consider the problem of local parameter identifiability of a parameter function in a system of ordinary differential equations. Previously, in this problem, the case where the dimensions of a parameter and a solution of a system coincide was considered, and a specific class of systems was identified, for which sufficient conditions for local parametric identifiability were obtained. We extend these results and consider a wider class of systems of differential equations, as well as the case where the dimension of a parameter is less than or equal to the dimension of a solution of a system. In both cases, sufficient conditions are derived for the local identifiability of a parameter function based on observations of a solution at a finite number of points.