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The theory of resource distribution in self-organizing systems on the basisof the fractal-cluster method has been presented. In turn, the fractal-clustermethod is based on the fractal-cluster relations of V.P. Burdakov and theanalytical apparatus of the thermodynamics of I. Prigozhin's structure. Thistheory consists of two parts: deterministic and probabilistic. The first partincludes the static and dynamic criteria, the fractal-cluster dynamic equationswhich are based on the Fibonacci's range characteristics fractal-clustercorrelations. The second part includes fundamentals of the probabilistic theoryof a fractal-cluster systems. This part includes the dynamic equations of theprobabilistic evolution of these systems. By using the numerical researches ofthese equations for the stationary case the random state field of the one inthe phase space of the $D$, $H$, $F$ criteria have been obtained. For thesocio-economical and biological systems this theory has been tested. Inparticular, three fundamental fractal-cluster laws have been obtained forbiological organisms: probabilistic, energetic and evolutionary.

Fractal-cluster theory and thermodynamic principles of the control and analysis for the self-organizing systems