ON THE MODELLING OF DYNAMIC SYSTEMS

Abstract

Often it is poeetble to represent dynamic systems, whether th4V are mechanical, electrical# hydraulic or bin' logical, by means of differential equations* This represenn tation utilises various physical laws governing the particu- lar system or process, e.g. Newton's Laws for mechanical systems and Kirohhoft' a Laws for electrical syatems, etc. The response of such dynamic ey stems to an Input or forcing function i e then obtained by solving those system equations. This mathematical description of the dynamic characteristics of a system to known as its Nathematical Mode.. Mathematical model of a system may assume many different forms and one particular representation may be found to be better suited that others# depending on the nature and circumstances of the specific problem* Once the mathematical model of a system is Obtained, various analytical and computational methods can be used for analysis and synthesis purposes