Bychkov O. Information technology for the analysis and synthesis of continuously discrete information systems and processes based on fuzzy hybrid automata

The dissertation is devoted to the solution of the actual scientific and applied problem, which consists in the development of information technology for the analysis and synthesis of continuous discrete information systems and processes on the basis of infallible hybrid automata in order to increase the efficiency of research and management of complex multicomponent systems and processes under infinity conditions. Information technologies for the analysis and synthesis of continuously-discrete systems are developed for the purpose of increasing the efficiency of research and management of complex multi-component continuous-discrete systems and processes under conditions of fuzzy. The universal information technology and the corresponding methodology for the analysis and synthesis of continuously discrete processes, which are given by the new formalism - generalized fuzzy hybrid automata, using the author's proposed axiomatic (PN) -model of the theory of possibilities, is developed, the theory of fuzzy differential equations in the process of fuzzy wandering, technology of the study of the stability of deterministic continuous-discrete systems - hybrid automata, technology for studying the stability of linear and nonlinear complex processes in the conditions of fuzzy information, the technology of description and computer simulation of fuzzy processes, algorithms for constructing optimal conditions of stability of processes. The method has been tested on an example of modeling and research of aircraft dynamics and dynamics of cancerous tumors and can be used for studying and solving various problems of medical science, aviation engineering, robotics, economics, and others.