Thesis icon

Thesis

Analysis of systems described by partial differential equations using convex optimization

Abstract:

In this dissertation, computational methods based on convex optimization, for the analysis of systems described by partial differential equations (PDEs), are proposed.

Firstly, motivated by the integral inequalities encountered in the Lyapunov stability analysis of PDEs, a method based on sum-of-squares (SOS) programming is proposed to verify integral inequalities with polynomial integrands. This method parallels the schemes based on linear matrix inequalities (LMIs) for the ana...

Expand abstract

Actions


Access Document


Files:

Authors


More by this author
Division:
MPLS
Department:
Engineering Science
Role:
Author

Contributors

Role:
Supervisor
More from this funder
Funding agency for:
Ahmadi, M
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:ae952a10-7602-4f61-9b8f-60350c90d4dc
Deposit date:
2016-12-18

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP