Khitko I. Analysis, estimation and optimization of beams dynamics with impulse influence

Problems of practical stability and optimization of beams dynamics with impulse influence are considered. The systems without disturbances and with standing disturbances are investigated. The necessary and sufficient conditions of practical stability of impulse systems are received. For convex and star-shaped phase restrictions the constructive conditions maximal behind inclusion of areas of practical stability are proved. The necessary conditions of non-differential optimal control are proved. The iterative procedures of parametrical minimization of function of a maximum on the initial data are constructed. The developed technique is applied to modeling of optimal dynamics of the charged beams.