Name
Abstract | ||
|---|---|---|
We first study a one-dimensional optimal control problem with two controlled different dynamics in two half-lines. This may represent a two-edges node of a network on which we are controlling an evolution with different dynamics on different edges. By the point of view of the dynamic programming, and of the corresponding Hamilton-Jacobi-Bellman equation, the discontinuity of the dynamics at the node is in general a big mathematical problem. We introduce an approximation given by the use of a switching rule of the so-called delayed-relay type, and we study the passage to the limit when the parameter of the approximation goes to zero. Then we apply the same procedure to the case of a junction of three half-lines at one point (a three-edges node of a network). |
Year | Venue | Keywords |
|---|---|---|
2014 | 2014 7th International Conference on NETwork Games, COntrol and OPtimization (NetGCoop) | value function,one-dimensional optimal control problems,half-lines,two-edges node,dynamic programming,Hamilton-Jacobi-Bellman equation,mathematical problem,delayed-relay type |
Field | DocType | ISBN |
Network on,Dynamic programming,Applied mathematics,Mathematical optimization,Optimal control,Discontinuity (linguistics),Bellman equation,Mathematics,Mathematical problem | Conference | 978-1-5090-3958-6 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fabio Bagagiolo | 1 | 31 | 3.88 |