摘要 |
A method of modelling a dynamic system having a plurality of components which are transformed over time according to an influence thereupon by one or more other components, the method comprising the steps of (i) representing the transformation of the components, Xm, in a regular time interval tc from state values at a previous measured state, n-1, to state values at a subsequent measured state, n, as the product of the state values of the components, Xm, at the previous measured state, n-1, and the transformation of the components due to the influence thereupon by one or more other components, thus: (ii) solving the component transformation representation, using a solution of a system of linear differential equations, to give: (iii) rewriting the solution of the component transformation representation using simple variables, to give: (iv) approximating a value of E using a regression technique, (v) using the approximation of E to obtain a value for J, the transformation of the components due to the influence thereupon by one or more other components, and (vi) obtaining a model of the dynamic system which allows prediction of transformation of a state value of any component of the system at a previous state to a subsequent state in a chosen time interval from a product of the transformation J and the state value of the component at the previous state: |