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Information × Registration Number 0221U104411, 0117U007595 , R & D reports Title Mathematical modeling, analysis and control of complex dynamical systems popup.stage_title Head Leontieva Viktoriya V., Registration Date 18-03-2021 Organization Zaporizhzhia National University popup.description2 A research object is mathematical models of complex dynamical systems. An aim of work is construction, analysis of new and improvement of existing mathematical models of complex dynamical systems, improvement of methods and techniques for analysis, control and observation of complex dynamic systems using methods of mathematical modeling, theory of automatic control and regulation, theory of differential and difference equations, theory of stability and theory of dynamic systems. Research methods are methods of mathematical modeling, automatic control and regulation, theory of differential and difference equations, stability, dynamical systems, positive systems. The got results and novelty are the worked out open-loop discrete and continuous mathematical models of complex dynamical system with certain constraints on the initial, input, output and intermediate characteristics of the system. The conditions under which the studied systems are positive, asymptotically stable (by Lyapunov), completely controlled, observed and identifiable, as well as the conditions under which it is possible to decrease the parametric sensitivity of the models are obtained. For systems which have violated one of the indicated properties as well as for systems requiring an improvement of dynamical properties and/or stabilization of unstable solutions, there has been identified and investigated a spectrum of possible control actions for the system and has been constructed the closed-loop discrete and continuous mathematical models of a dynamical system, the use of which in the complex in conditions of complete and incomplete information about the state of the object provides the desired properties of the system. The problems of program control and observation are solved for open-loop and closed-loop models. A general technique for studying changes in the output characteristics of a complex dynamical system has been developed. According to such technique an effective algorithm for a complex  Product Description popup.authors Elkhovska Yana A. Kondratieva Nataliia O. Ovsky Oleksander G. popup.nrat_date 2021-03-18 Close