V.S. Verba – Corresponding Member of RAS, Honored Scientist of RF, Dr.Sc.(Eng.), Professor, 

General Product Engineer – First Deputy General Director of JSC «Corporation «Vega» (Moscow) E-mail: vvs.msk@gmail.com

Scopes of mathematical models in optimization problems of airborne information management systems, their main properties and indicators, classification, communication with system indicators of perfection and optimization methods are considered.

In article scopes of the mathematical models (MM) in optimization problems of the airborne information management systems (IMS) are considered.

The main properties and indicators of MM are discussed: dimension, accuracy, existence area, life time, measurability, observability, controllability, sensitivity, reconfigurability, adequacy, type of coordinate systems. Influence of these indicators on system indicators of perfection of IMS is qualitatively estimated: efficiency, survivability, dynamism, informativity, sensitivity to change of parameters and operating conditions.

Quality standard of interrelations and interdependence of MM and optimization methods of IMS is carried out.

Information is given on mathematical models of the relative and absolute motion of airborne objects in coordinate systems used in problems of estimating the coordinates and parameters of their motion in airborne radars. The specifics of the practical use of these models in the algorithms of trajectory tracking, providing the necessary information of the air traffic control system and the guidance of aircraft on airborne objects, are indicated.

The article gives a general description of various mathematical models of the motion of airborne objects used in estimating the coordinates and parameters of their movement in radar systems of airspace monitoring when solving problems of air traffic control and aircraft guidance. Mathematical models of relative and absolute motion of air objects in antenna, beam and normal terrestrial coordinate systems are considered. Features of practical implementation of these mathematical models in the systems of trajectory support of airborne objects of airborne radars and the necessary composition of onboard meters are analyzed.

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