Name
Title | ||
|---|---|---|
Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh-Nagumo Model. |
Abstract | ||
|---|---|---|
Feedback control for the monodomain equations is studied. The dynamics of interest are governed by a coupled PDE-ODE reaction diffusion system with nonmonotone nonlinearity of FitzHugh-Nagumo type. A localized distributed control is used to locally stabilize the nonlinear system. This is achieved by a Riccati-based feedback law, determined by the linearized system. It is shown that the Riccati equation corresponding to the PDE variable suffices for exponential stabilization of the linearized PDE-ODE system. The theoretical findings are underlined by several numerical examples. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/140964552 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | Field | DocType |
feedback control,Riccati equation,monodomain equations,FitzHugh-Nagumo model | FitzHugh–Nagumo model,Mathematical optimization,Nonlinear system,Mathematical analysis,Exponential stabilization,Riccati equation,Algebraic Riccati equation,Linear-quadratic regulator,Reaction–diffusion system,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 6 | 0363-0129 |
Citations | PageRank | References |
1 | 0.40 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tobias Breiten | 1 | 115 | 9.41 |
| Karl Kunisch | 2 | 1370 | 145.58 |