ABSTRACT
This chapter provides a discipline for developing mathematical models of interacting components of systems. The key to physical systems theory lies not in the notions of analogies but in the concept of a linear graph. To system analysts and designers, the linear graph can be considerably more than simply a collection of oriented line segments. As measured by the criteria of the efficient computer implementation and general applicability to both linear and nonlinear systems, the state space model is quickly emerging as the most useful model for analysis, synthesis, control, and optimization of engineering systems and certain socioeconomic systems and processes. Various modeling techniques are available in the literature to model a given system. The selection of a suitable modeling and simulation technique for obtaining component model system models and their solution is very essential. The availability of high-speed computers has revolutionized the concept of what is essential in the mathematical modeling of components and systems.
