A maximum principle for optimal impulsive processes and it´s application

In this paper analyzes nonlinear optimal control problem in which the control may be impulsive and give rise to discontinuous trajectories. This might correspond in an economic context, in lazer technique, in robototechnique. in control of flying apparatus movement. In our control problem nonlinear dynamic systems are driven by both an ordinary control u(·) and impulsive control dw. which is V valued regular measure. We announce necessary conditions. for optimality in the form Maximum Principle (MP). and discuss some it´s applications.