The study is devoted to the problem of financial regulation of the defense industry and the provision of troops, as the escalation of the military conflict in eastern Ukraine has revealed shortcomings in this area. A comparative analysis of NATO and Ukraine’s defense spending was conducted and differences in the cost structure were identified. The tendency of Ukraine’s defense spending to gradually approach the structure of NATO defense spending is pointed out, but the insufficient level of this approach is also taken into account. The analysis allowed to identify problematic issues and inconsistencies in the financial regulation of the defense industry. The state of export of defense equipment and technologies as a possible source of financing of defense enterprises is analyzed. The existence of two opposite trends in the financial regulation of military logistics has been identified: both an increase in funding in absolute terms and a reduction in the share of the total amount for the implementation of the unified logistics system of the State Armed Forces Development Program. The developed mathematical model of supply of military units is suitable for use in information systems of logistical support of troops.

The main management problems arising in the implementation of the preparation and decision-making processes in military systems have been considered; an approach to increase the efficiency and the validity of decisions, taking into account the most important factors and parameters of the real process, has been proposed.

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<div class="contentJustify">It has been suggested to assess non-uniformity of illuminance by the coordinate distribution of its gradient. By the example of mathematical model, the possibility to form a desired illuminance gradient profile from a multicomponent module by means of electronic control of the LED lighting parameters.</div>

Many energy saving tasks can be solved thanks to the current advances in LED technology in the production of semiconductor light sources. Modern production of solid-state LEDs guarantees high-precision compliance with the calculated design parameters of illumination devices. This opens up wide opportunities for high-precision control of the lighting parameters of a multicomponent module: light power, a directional pattern and a distribution of illumination. Today, the methodical issues of the preliminary modeling of LED illumination devices with the given parameters are fundamentally solved. There is a shift from manual calculations to computer design and need to develop and select the most effective mathematical modeling methods. The paper presents a consistent approach to the modeling of the distribution of illumination on a horizontal plane from the planar LED module, based on the Lambert type of radiation of a single point source. Simple mathematical expressions, programmed on a personal computer, are obtained. The example of a 25-LED floodlight has shown the ability of dynamic control the lighting characteristics of the module. Connecting patterns of separate LEDs or their groups allow to change the direction pattern of the lamp by the appropriate way of switching diodes with different aperture of radiation. The lighting power can be controlled within the linearity of the ampere-brightness characteristics by changing the current strength through the LED. The static selection of characteristics is controlled by the geometry of the location of discrete sources. The formation of uniform illumination of the plane is graphically illustrated. The electron-dynamic way of controlling the lighting parameters of the LED floodlight is confirmed by the inventor’s certificate.