Lifting the non-isothermal CSTR dynamics to the complete Thermodynamic Phase Space

This paper deals with the contact formulation of the contact geometry of irreversible thermodynamics. Firstly, a family of parameterized contact Hamiltonian functions, defined on the complete Thermodynamic Phase Space, generating non-strict contact vector fields which are equivalent on the associated Legendre submanifold, is proposed using both the Gibbs relation and the Gibbs-Duhem relation. Secondly, the parameterized lifts of the CSTR dynamics to the complete Thermodynamic Phase Space are performed, while guaranteeing the global attractivity of the Legendre submanifold on which the dynamics of the system is living.