In addition to state equations, output equations make up the state model of a system, and input model, output model, and state models are mostly needed for the complete state model.
A semi-empirical functional relationship between a pure substance's pressure, volume, and temperature is known as an equation of state (EOS). Because it involves a relationship between four variables and describes the state of any gas, the ideal gas equation is also known as an equation of states. Take the differential equation's Laplace Transform first, then use it to determine the transfer function (with zero initial conditions). Remember that in the Laplace domain, multiplication by "s" corresponds to differentiation in the time domain. The transfer function is then the output to input ratio and is frequently abbreviated as H.
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