### Abstract

Language | English |
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Title of host publication | 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory |

State | Published - Jul 2019 |

Event | 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory - Louvain-la-Neuve, Germany Duration: 3 Jul 2019 → 3 Jul 2019 |

### Conference

Conference | 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory |
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Country | Germany |

City | Louvain-la-Neuve |

Period | 3/07/19 → 3/07/19 |

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### Cite this

*3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory*[WeS3S.2]

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*3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory.*, WeS3S.2, 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory, Louvain-la-Neuve, Germany, 3/07/19.

**Towards a general stability analysis of process network systems.** / Ozkan, Leyla; Ydstie, B. Erik.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Towards a general stability analysis of process network systems

AU - Ozkan,Leyla

AU - Ydstie,B. Erik

PY - 2019/7

Y1 - 2019/7

N2 - This paper considers process systems whose dynamics are described by conservation laws for extensive variables and second law of thermodynamics and which can also been considered as interconnected (network) systems. In representing the dynamics and the analysis of network systems Tellegen's theorem and the passivity theory are used. Different from the usual application of these two methods on large scale systems, in this work, we only consider a single unit (node). For a single process unit, we apply the Tellegen's theorem and using a suitable storage function, derive the expression for the rate of change of the storage function. This expression is obtained for the cases of single phase and binary phases.

AB - This paper considers process systems whose dynamics are described by conservation laws for extensive variables and second law of thermodynamics and which can also been considered as interconnected (network) systems. In representing the dynamics and the analysis of network systems Tellegen's theorem and the passivity theory are used. Different from the usual application of these two methods on large scale systems, in this work, we only consider a single unit (node). For a single process unit, we apply the Tellegen's theorem and using a suitable storage function, derive the expression for the rate of change of the storage function. This expression is obtained for the cases of single phase and binary phases.

M3 - Conference contribution

BT - 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory

ER -