ABSTRACT
The chapter illustrates modeling by analysis. Experimental modeling is the selection of mathematical relationships that seem to fit an observed input-output data. System models can be developed by two distinct methods: by analysis and by experiment. The chapter explains the time response of an important system. All the systems are nonlinear, time-varying, distributed parameter, and stochastic systems. Distributed parameter systems require partial differential equations for their description, for example, a transmission line. The chapter presents the reader to work out the example and fill-up all the gaps provided to gain hands-on experience. It also explains about physical systems, their mathematical representation, and their analysis using Laplace transformation; this tool is quite obviously indispensible. In general, the gain of a control system would be large enough compared to 3 dB. The chapter focuses on linear time-invariant and lumped parameter single-input single-output systems, and real-rational functions, called the transfer functions, in the complex variables.
