Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752344 | Systems & Control Letters | 2011 | 10 Pages |
This paper is concerned with necessary as well as sufficient conditions for near-optimality of controlled jump diffusion processes. Necessary conditions for a control to be near-optimal are derived, using Ekeland’s variational principle and some stability results on the state and adjoint processes, with respect to the control variable. In a second step, we show that the necessary conditions for near-optimality, are in fact sufficient for near-optimality provided some concavity conditions are fulfilled. Finally, as an illustration some examples are solved explicitly.
► We consider optimal control of jump diffusion processes. ► Necessary conditions for near optimality are investigated. ► These conditions are shown to be sufficient under some additional convexity assumptions.