On the equivalence of storage functions in controlled thermodynamic systems

Motivated by thermodynamic concepts strongly related to the second law of thermodynamics, this paper deals with the mathematical foundations of thermodynamics to reconstruct some storage functions usable both for the stability analysis and control of homogeneous chemical processes through the case study of non isothermal continuous stirred tank reactors (CSTRs). Besides, the equivalence of the storage functions in the thermodynamics framework is also shown.