Integral guiding potentials in the problem of asymptotic behavior of solutions for functional differential inclusions

The new method to solving the problem of the asymptotic behavior of trajectories for control systems governed by functional differential inclusions with convexvalued and nonconvex-valued right-hand sides is introduced. As the main tool of solving the problem the method of integral guiding potentials is applied. The application of this method makes it possible to establish estimates for the norms of trajectories for above systems.