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

Antonis Papachristodoulou, Matthew Peet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

29 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages747-752
Number of pages6
StatePublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

Fingerprint

Partial differential equations
Polynomials
Boundary conditions

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Papachristodoulou, A., & Peet, M. (2006). On the analysis of systems described by classes of partial differential equations. In Proceedings of the IEEE Conference on Decision and Control (pp. 747-752). [4177885]

On the analysis of systems described by classes of partial differential equations. / Papachristodoulou, Antonis; Peet, Matthew.

Proceedings of the IEEE Conference on Decision and Control. 2006. p. 747-752 4177885.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Papachristodoulou, A & Peet, M 2006, On the analysis of systems described by classes of partial differential equations. in Proceedings of the IEEE Conference on Decision and Control., 4177885, pp. 747-752, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 12/13/06.
Papachristodoulou A, Peet M. On the analysis of systems described by classes of partial differential equations. In Proceedings of the IEEE Conference on Decision and Control. 2006. p. 747-752. 4177885
Papachristodoulou, Antonis ; Peet, Matthew. / On the analysis of systems described by classes of partial differential equations. Proceedings of the IEEE Conference on Decision and Control. 2006. pp. 747-752
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