Parameter identification of coupled nonlinear stochastic systems with dual time delays

This study focuses on the parameter identification of coupled nonlinear stochastic systems with dual time delays. To overcome the difficulties in parameter measurement induced by time delay effects, multiple couplings, strong nonlinearity and noise excitation, we develop a parameter identification method that combines Laplace transform algebraic operation with sparse identification. The developed method can effectively avoid parameter redundancy and achieve high-precision parameter identification. Its validity is demonstrated through a time-delayed tristable electromechanically coupled energy harvesting system subjected to noise excitation.