Name
Abstract | ||
|---|---|---|
This paper investigates input-output properties of systems described by partial differential equations (PDEs). Analogous to systems described by ordinary differential equations (ODEs), dissipation inequalities are used to establish input-output properties for PDE systems. Dissipation inequalities pertaining to passivity, induced L2-norm, reachability, and input-to-state stability (ISS) are formulated. For PDE systems with polynomial data, the dissipation inequalities are solved via polynomial optimization. The results are illustrated with an example. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/CDC.2014.7040061 | Decision and Control |
Keywords | Field | DocType |
convex programming,partial differential equations,polynomials,ISS,ODE,PDE,convex optimization,dissipation inequalities,distributed parameter systems,input-output analysis,input-output properties,input-to-state stability,ordinary differential equations,partial differential equations,polynomial data,polynomial optimization | Mathematical optimization,Ordinary differential equation,Polynomial,Separable partial differential equation,Orthogonal collocation,Control theory,Mathematical analysis,Numerical partial differential equations,Distributed parameter system,Convex optimization,Partial differential equation,Mathematics | Conference |
ISSN | Citations | PageRank |
0743-1546 | 5 | 0.49 |
References | Authors | |
10 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohamadreza Ahmadi | 1 | 35 | 7.12 |
| Giorgio Valmorbida | 2 | 104 | 16.87 |
| Antonis Papachristodoulou | 3 | 990 | 90.01 |