DocumentCode
695939
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
fYear
2009
fDate
23-26 Aug. 2009
Firstpage
1106
Lastpage
1111
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2009 European
Conference_Location
Budapest
Print_ISBN
978-3-9524173-9-3
Type
conf
Filename
7074553
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