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Information × Registration Number 0212U008182, 0111U007136 , R & D reports Title Problems of analysis of domains of stability and attractions of discrete and continuous dynamic systems popup.stage_title Head Skobelev Volodymyr Volodymyrovich, Registration Date 03-12-2012 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Object of investigation: dynanical systems presented either via systems of differential equations, or via equiations over finite algebraic structures. Aim of research: investigation of attraction domains for continues autonomous systems and stability of trajectories under restrictions for transition function and control sequences for discrete systems. Methods of investigation: methods of Ljapunov's functions theory, methods of automata theory, methods of theory of algebraic systems, metods of algebraic geometry and methods for solving partially inversible problems of mechanics. Results and novelty: for a family of automata over finite ring it is solved problem of design of simulation model, it is investigated automata determined in terms of ideals of finite ring, it is investigated homomorphisms for automata determined on varieties in finite ring. It is established conditions under which there exists function with constant sign derivative for design Ljapunov's function in the process of analysis stability and partial stability for solutions of autonomous system of differential equations. It is investigated non-pendulum rotations of non-autonomous hyrostate with fixed hyrostatic moment. Sphere of applications: mathematical control theory, theory of dynamical systems, algebraic automata theory, information protection for modern information technologies. Product Description popup.authors Волкова Ольга Сергійовна Скобелєв Володимир Володимирович popup.nrat_date 2020-04-02 Close