Title :
Stability properties of contact structure dynamical systems
Author :
Favache, Audrey ; Dos Santos, Valerie ; Dochain, Denis ; Maschke, Bernhard
Author_Institution :
CESAME, Univ. catholique de Louvain, Louvain-la-Neuve, Belgium
Abstract :
The contact structure formalism allows to model the dynamic behaviour of thermodynamic systems by means of the differential geometry. In this paper we relate the stability properties of the system to the elements of the contact structure formalism. We consider Lyapunov´s first theorem to emphasize a stability criterion for the equilibrium points in terms of the system contact Hamiltonian function. This result is then related to the physical phenomena that are taking place in the system.
Keywords :
Lyapunov methods; differential geometry; stability criteria; thermodynamics; Lyapunov theorem; contact structure dynamical systems; contact structure formalism; differential geometry; dynamic behaviour model; equilibrium points; physical phenomena; stability criterion; stability properties; system contact Hamiltonian function; thermodynamic systems; Eigenvalues and eigenfunctions; Entropy; Mathematical model; Stability criteria; Thermodynamics; Vectors; contact structure; stability; thermodynamics;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
