A system-theoretic basis for process control is developed using statistical mechanics as our point of departure. Specifically we show that a thermodynamic system can be discussed within the framework passive systems theory. Using Boltzmann's definition entropy S = kB ln(Ω) and assuming distribution states uniformly distributed close to equilibrium manifold demonstrate existence Lyapunov functio...

in many industrial and non-industrial applications the quality of a process or product is characterized by a relationship between a response variable and one or more explanatory variables. this relationship is referred to as profile. in the past decade, profile monitoring has been extensively studied under the normal response variable, but it has paid a little attention to the profile with the ...