Name
Abstract | ||
|---|---|---|
In this paper, we develop dissipation inequalities for a class of well-posed systems described by partial differential equations (PDEs). We study passivity, reachability, induced input-output norm boundedness, and input-to-state stability (ISS). We consider both cases of in-domain and boundary inputs and outputs. We study the interconnection of PDE-PDE systems and formulate small gain conditions for stability. For PDEs polynomial in dependent and independent variables, we demonstrate that sum-of-squares (SOS) programming can be used to compute certificates for each property. Therefore, the solution to the proposed dissipation inequalities can be obtained via semi-definite programming. The results are illustrated with examples. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.automatica.2015.12.010 | Automatica |
Keywords | Field | DocType |
Distributed parameter systems,Convex optimization,Sum-of-squares programming,Dissipation inequalities,Interconnected systems | Passivity,Mathematical optimization,Polynomial,Control theory,Dissipation,Reachability,Variables,Distributed parameter system,Partial differential equation,Convex optimization,Mathematics | Journal |
Volume | Issue | ISSN |
66 | C | 0005-1098 |
Citations | PageRank | References |
9 | 0.67 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohamadreza Ahmadi | 1 | 35 | 7.12 |
| Giorgio Valmorbida | 2 | 104 | 16.87 |
| Antonis Papachristodoulou | 3 | 990 | 90.01 |