Quasilinearization and sufficient conditions of optimality in the problem of improvements and containment

A new approach to the analytical design of linear and panel-integrated linear automatic control systems (ACS) real (fast) time scale, based on the combined use of technology and a dynamic programming method quasilinearization. The effective methods of synthesis and the combined procedure the two-point boundary value problem solutions on schemes of dynamic programming, providing interval standardized monotonically decreasing (relaxation) the convergence of management processes for the necessary conditions for the local optical-minimality. The basic theorems and are different vari-Antes algorithmic implementation methods. The need for such a development is due to the actual lack of reliable methods for the synthesis of non-linear digital controllers, guaranteeing high accuracy and stability of the resolution as acceptable computational cost. For continuous dynamical systems-ray shows the basics of nonlinear synthesis of theory in the degenerate (synergistic) formulation. developed algorithmic software integrated ACS, stratified by level of control of the aircraft. The efficiency of the nonlinear fusion algorithms tested in a number of test cases and model problems of the dynamics of promising automated collision avoidance systems and overcome the wind shear on approach middle-class aircraft. For the first time a non-linear synthesis problem is formulated in the degenerate (synergistic) setting, which is necessary for the study of dissipative (open, self-organizing) systems.