The present invention is a method and systems for estimating a differential or differential equation that can control a nonlinear, time-varying, and parameter-change dynamics process or system. The methods and systems for estimating mathematical equations can be based on the observed output and, if desired, the estimation of the input data for the mathematical equations. The methods and systems provide nonlinear, time-varying, and non-linear methods that employ automated extraction of differential equations for describing detailed system or method behavior used for system control, fault detection, state estimation and prediction and adaptation thereof, And may be used in any system or process that may be described in terms of variation and parameter variation differential equations.
展开▼