Supplement: A Variational Approach to Parameter Estimation in Ordinary Differential Equations
نویسنده
چکیده
1 Parameter estimation in ODE systems with inputs Let ẏ = f(y, [x], p) (1) be an ODE for components y ∈ RN with continuous input function [x] ∈ C0(R,RM ). The system depends on dynamic parameters p ∈ RK and on initial conditions y(t = 0) which are combined to P = (p, y(t = 0)). The solution to eq. (1) is denoted by yP [x] and is a differentiable function of time t. Let us assume that the components y are measured at time points ti denoted by yi. For fixed [x] the χ 2 function χred(P ) = ∑
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