APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS

Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a we mean some abstract operator the Dirac function concentrated at each time. Such ("running impulse"), generalized function, has no meaning and is formalized sequence of correcting actions on system corresponding to directed set partitions interval. The responds by discontinuous trajectories, which form network so-called "Euler's broken lines." If, result correction, phase point object under study given manifold (hypersurface), then slip-type effect introduced into motion system, lines" called an impulse-sliding mode. paper deals problem approximating modes using sequences continuous delta-like functions. research based Yosida's approximation set-valued mappings well-known facts for ordinary equations impulses.