| Article ID: | iaor20032460 |
| Country: | United States |
| Volume: | 98 |
| Issue: | 3 |
| Start Page Number: | 515 |
| End Page Number: | 543 |
| Publication Date: | Sep 1998 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Melikyan A.A., Ovakimyan N.V., Harutiunian L.L. |
| Keywords: | search |
The complete solution of two differential games with simple motion on a two-dimensional cone is presented. The method of generalized (singular) characteristics is used for the analysis of singular paths. The level lines of the game value and optimal phase portrait are constructed, and the latter is shown to include several types of singular surfaces (dispersal, equivocal, universal). An algorithm is developed for the construction of the synthesis for both players and is used in computer simulation.