TRAJECTORY OPTIMALITY CONDITIONS FOR MOVING OBJECTWITH NON-UNIFORM RADIATION PATTERN
The problem of optimal trajectory planning of the moving object with a non-uniform radiation pattern is considered and analytically solved as a variational problem. The task is to minimize the risk of detection of the moving object by a static sonar while moving between two given points on a plane. Necessary and sufficient conditions of the trajectory’s optimality are obtained. The optimal trajectory and velocity law of the moving object are found, as well as optimal risk of the detection value.