On the analysis of systems described by classes of partial differential equations

Antonis Papachristodoulou; Matthew Monnig Peet

doi:10.1109/cdc.2006.377815

On the analysis of systems described by classes of partial differential equations

Antonis Papachristodoulou, Matthew Monnig Peet

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

33 Scopus citations

Abstract

We provide an algorithmic approach for the analysis of infinite dimensional systems described by Partial Differential Equations. In particular, we look at the stability properties of a class of strongly continuous semigroups generated by nonlinear parabolic partial differential equations with appropriate boundary conditions. Our approach is based on the application of semidefinite programming to the computation of Lyapunov-type certificates defined by polynomial functions. An illustrative example is given.

Original language	English (US)
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	747-752
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377815
State	Published - 2006
Externally published	Yes
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: Dec 13 2006 → Dec 15 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	12/13/06 → 12/15/06

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.2006.377815

Cite this

Papachristodoulou, A., & Peet, M. M. (2006). On the analysis of systems described by classes of partial differential equations. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 747-752). Article 4177885 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377815

On the analysis of systems described by classes of partial differential equations. / Papachristodoulou, Antonis; Peet, Matthew Monnig.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 747-752 4177885 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Papachristodoulou, A & Peet, MM 2006, On the analysis of systems described by classes of partial differential equations. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177885, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 747-752, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 12/13/06. https://doi.org/10.1109/cdc.2006.377815

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On the analysis of systems described by classes of partial differential equations

Abstract

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