Parameter estimation for a class of nonlinear ordinary differential equations
In this paper,a two-stage method is used to estimate the parameters of nonlinear ordinary differential equations with cross terms.In the first stage,the least square method is combined with spline expansion to get the estimation of the basis function expansion.At the same time,in order to improve the estimation efficiency,integral estimation is used in the proposed method,and the integral of the expansion of the estimated basis function is obtained.Then the integral results are substituted into the Group LASSO model to get the parameter estimates.Finally,numerical simulation results show that the proposed method is effective in solving nonlinear ordinary differential equation parameter estimation problems.
NETL
NSTL
万方数据
维普
