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Instruments and Systems: Monitoring, Control, and Diagnostics

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Accounting fractal properties in functioning of aviation system weather-dependent decisions support
V.V. MIKHAILOV, M.E. SEMENOV, S.L. KIRNOSOV

The paper presents the basics of building decision support system meteodependent solutions to perform aircraft tasks given its fractal properties. Construction of the above system is based on the use of the basic tenets of the theory of deterministic chaos and elements of complex dynamics in the formalization of the influence of meteorological conditions, the level of pilot training, state aerodrome ground landing system readiness, training entities of operational control for successful performance in the aviation task. In paper obtained the following main results and conclusions.
In the process of building a decision support system which takes into account the hidden patterns of meteodependent properties aircraft systems, possible and appropriate use of quantitative and qualitative methods of deterministic chaos theory.
Search for stable and safe modes of operation of aviation systems must be based on analysis of their attractors, which are areas in the phase space of their functioning characteristics. Analysis of one-dimensional nonlinear discrete maps and endomorphisms on the complex plane shows, first, their relationship universal scale similarity, and secondly – the presence of both the first and second cases of stable structures – fractals. Such structures are hypersensitive to external influences, resulting in a need to visualize them for later use in making management decisions. Delineation attractors aircraft systems is a critical task, since in practice – is the set of possible states of the controlled system after stabilization.
Keywords: aviation task; weather conditions; deterministic chaos; invariant sets; bifurcation diagram; Mandelbrot fractal, complex endomorphisms.

Contacts: E-mail: mvv987@pochta.ru

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