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Information × Registration Number 0122U000668, R & D request Title Development of quantitative and qualitative methods of decision making in stochastic and changing environments based on nonlinear systems analysis and problems optimization with features Head Zghurovskyi Mykhailo Z., Доктор технічних наук Registration Date 28-01-2022 Organization Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" popup.description1 Develop theoretical tools for qualitative and constructive analysis of nonlinear systems and optimization problems with features characterized by large arrays of inconsistent data of different nature using machine learning methods, including the following tasks: (a) solving multicriteria problems of identification of nonlinear partially observable systems with admissible non-compact sets of admissible solutions and unlimited functionalities of one-step cost; (b) constructive results of existence and regularity theorems for all weak (generalized) solutions of nonlinear systems classes, which reduced to new mathematical objects in phase and extended phase spaces - differential operator inclusions and evolutionary variational inequalities with admissible nonmonotonic smooth potentials; (c) results on the convergence of solutions and their approximations in the strongest topologies of natural phase and extended phase spaces; (d) uniform global behavior of solutions for evolutionary nonlinear systems over time ( in particular, a methodology for global and trajectory attraction sets of solutions without unnatural assumptions about the periodicity, quasiperiodicity and translational compactness of non-autonomous components over time); (e) development of algorithms for the implementation of approximate solution methods using software libraries for machine learning TensorFlow and Keras; with numerous applications, including nonlinear applications of physics, chemistry, biology, economics, etc. popup.nrat_date 2024-12-09 Close