Suprun T. Integrated models comparator identifications and their application for visual information recognition

Object of research - process of processing of the information in touch systems with an exit inaccessible to direct measurement which mathematical models are described by operators of designing of integrated type. Research subject - methods and models компараторной identifications of systems of processing of the visual information at restriction of set of entrance signals. The purpose of thesis - working out of integrated models and methods of the analysis of touch systems in the conditions of restrictions on set of entrance signals on the basis of a method компараторной identifications and their application for expansion of possibilities of recognition of the visual information. Research methods - by working out of models компараторной identifications the mathematical apparatus of the theory of binary predicates, methods of linear algebra and the functional analysis is used, at synthesis of algorithms of check of properties of models - artificial intelligence formal methods. Scientific novelty - for the first time the offered models компараторной identifications of color inertia which look like operators on гильбертовом space and on its positive cone - with kernels which break up, разностными kernels and families of two-parametrical operators. It gives the chance to identify analytically process of color inertia in cases of spectral structure which changes in time and constant spectral structure with intensity which changes in time; - The integrated model of transformation of the visual information which, unlike existing, defines conditions of simplification of a kernel of integrated model in the form of system of axioms to which the model should answer is improved. It provides possibility of recognition of the color information taking into account the phenomenon иррадиации sight; - has got the further development a method компараторной identifications for construction of mathematical models of dynamic systems which are described by operators of Fredgolma and Volterra, on a case when the set of entrance signals is described бесконечномерным by space. The method unlike the existing provides construction of a concrete kind of the operator which is identified, on the basis of a set of its characteristic properties and provides possibility of adaptation of touch system to illumination level. Results of dissertational work entered into scientific and technological center AN PRE Open Company in scientific and technical working out "the Universal multimedia interactive shooting training apparatus". Use of methods компараторной identifications of linear static and dynamic systems have allowed to develop more effective criterion of decision-making. The theoretical results received in dissertational work have been used in educational process on chairs of the software of the COMPUTER and the applied mathematics of the Kharkov national university of radio electronics in disciplines «the intelligence Theory» and «the Algebraic logic».