| Article ID: | iaor2009643 |
| Country: | Poland |
| Volume: | 35 |
| Issue: | 2 |
| Start Page Number: | 205 |
| End Page Number: | 218 |
| Publication Date: | Jan 2006 |
| Journal: | Control and Cybernetics |
| Authors: | Fulmaski Piotr, Nowakowski Andrzej |
| Keywords: | design, control, differential equations, programming: dynamic |
We consider the control problem with multidimensional integral functional where state and control satisfy a system of the first order hyperbolic PDE. Next, a type of deformation with control of the domain is described and then we define suitable shape functional. Having defined trajectory and control of deformation, the dual dynamic programming tools are applied to derive optimality condition for the shape functional with respect to such a deformation.