Port contact systems for irreversible thermodynamical systems

被引：0

作者：

Eberard, D. ^{[1
]}

Maschke, B. M. ^{[1
]}

van der Schaft, A. J. ^{[1
]}

机构：

[1] Univ Lyon 1, Lab Automat & Genie Proc, UMR 5007, CNRS, F-69365 Lyon, France

来源：

2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年

关键词：

port Hamiltonian systems; irreversible Thermodynamics; contact vector fields; lossless systems;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we propose a definition of control contact systems, generalizing input-output Hamiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the losslessness of these systems with respect to different generating functions.

引用

页码：5977 / 5982

页数：6

共 19 条

[1]

Arnold VI, 2013, Mathematical methods of classical mechanics

[2]

ARNOLD VI, 1978, EQUATIONS DIFFERENTI

[3]

Brockett R.W., 1977, LIE GROUPS HIST FRON, VVII, P1

[4]

CAROTHEODORY C, 1909, MATH ANN, V67

[5]

EBERARD D, 2005, IN PRESS P IFAC WORL

[6]

EBERARD D, 2005, P NOLTA C

[7] Reciprocity relations in thermodynamics [J].

Grmela, M .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 309 (3-4) :304-328

[8]

HERMAN R, 1973, GEOMETRY PHYS SYSTEM

[9]

Libermann P., 1987, Symplectic geometry and analytical mechanics, DOI DOI 10.1007/978-94-009-3807-6

[10]

Maschke BM., 1992, P IFAC S NOLCOS BORD, V25, P359

← 1 2 →