Journal article
Barrier Functionals for Output Functional Estimation of PDEs
- Abstract:
- We propose a method for computing bounds on output functionals of a class of time-dependent PDEs. To this end, we introduce barrier functionals for PDE systems. By defining appropriate unsafe sets and optimization problems, we formulate an output functional bound estimation approach based on barrier functionals. In the case of polynomial data, sum of squares (SOS) programming is used to construct the barrier functionals and thus to compute bounds on the output functionals via semidefinite programs (SDPs). An example is given to illustrate the results.
Actions
Authors
- Publication date:
- 2014-12-10
- Keywords:
- Pubs id:
-
pubs:499842
- UUID:
-
uuid:16f6e0bf-dd72-4195-bc2c-ee915a6d564b
- Local pid:
-
pubs:499842
- Source identifiers:
-
499842
- Deposit date:
-
2015-02-25
- ARK identifier:
Terms of use
- Copyright date:
- 2014
- Notes:
-
8 pages, 1 figure, preprint submitted to 2015 American Control
Conference
If you are the owner of this record, you can report an update to it here: Report update to this record