MODELLING, CONTROL, ADAPTATION AND DATA PROCESSING:

– Development of the theory and qualitative numerical methods of dynamic systems research;

– Development of control theory, including the problems of synthesis and optimization;
– Development of a new approach to research of dynamic systems based on the use of modern information technologies;

– Development of adaptive methods for the analysis of large arrays and flow data;

– Mathematical modelling of complex objects of natural sciences and engineering (mechanical engineering, mechanics, radio physics and radio automatics, vibration equipment, etc.).

Main results:

- New adaptive methods for the processing and analysis of large arrays of flow data have been created. New technologies for solving the problems of coding, filtering, recognition, classification, forecasting, modelling on the basis of the universal recurrent form of the least squares method have been developed;
- A new universal technique has been developed for investigation of dynamic systems on the basis of image recognition and statistical modelling, making possible the research of high order systems with a greater number of parameters;
- The problem of analysis and synthesis of quasiinvariant control systems and tracking has been solved;
- New modifications of the iterative algorithm for finding optimum control by the Markov process with incomes on the basis of the dynamic programming method have been developed. These modifications can be used for controlled queueing systems and for optimization of economic processes management with a large number of states;
- Mathematical technology, methods and software for qualitative-numerical research of concrete dynamic systems have been developed;
- New data about dynamic modes, bifurcations and transitions to chaotic behaviour, scenarios of evolution of dynamic conditions have been obtained for the conditions when the parameters in complex systems of oscillations control are changing: in auto-oscillating systems with frequency and frequency-phase control, systems of complex signals synchronization, pulsed systems with dynamically changing interval of adjustment. Opportunities for efficient control of dynamic modes by changing the inertial parameters of control circuits have been clarified, along with the degree of connectedness between interacting partial systems and the initial frequency mismatch, which allows, in particular, to carry out transition from the modes with periodic self-modulation to the modes with chaotic self-modulation and back;
- Theoretical approaches to studying complex periodic and stochastic modes of motion of dynamic systems with discontinuous nonlinearities have been developed based on the point mapping method. Regions with qualitatively different types of motion (with instant and long stops) in the space of system parameters have been determined;
- A technique for modelling and calculation of nominal parameters of landing gear legs of modern aircraft has been developed providing for stability and anti-shimmy controllability of vibrations;
- Technologies for the choice of parameters for adjustment of operating conditions of multipulse vibration compactors, units and devices of transmitting and receiving equipment have been developed;
- A program complex for modelling nonlinear dynamic processes in auto-oscillating systems with frequency and phase control has been developed.

The results obtained have no parallels, they have been recognized among the experts in the field of control theory, nonlinear dynamics, theory of phase synchronization, pattern recognition and data processing, medical diagnostics and forecasting.

The results can be applied in:
– Development and design of optimum and adaptive control systems;
– Development of self-learning systems for knowledge acquisition and decision-making on the basis of the analysis of actual data based on pattern-recognition methods;
– Performing calculations and design of radio-electronic communication and control systems with improved characteristics;
– Development of devices for generating complex regular and chaotic signals for information transmission systems.

Leading experts:

- Yuri Isaakovich Neimark , D.Sc. (Engineering), Professor;
- Valery Pavlovich Ponomarenko, D.Sc. (Physics and Mathematics), Professor;
- Valery Vladimirovich Matrosov, D.Sc. (Physics and Mathematics), Associate Professor;
- Larisa Grigorievna Teklina, Cand.Sc. (Physics and Mathematics);
- Vladimir Aleksandrovich Goryunov, Cand.Sc. (Physics and Mathematics), Associate Professor;
- Vladimir Semenovich Metrikin, Cand.Sc. (Physics and Mathematics), Associate Professor.

Main technological and research equipment:

- Personal computers with the system of automated research of technical devices "MATLAB ".
- Program complex for research of nonlinear dynamic continuous-time systems.
- Testbed for studying dynamic characteristics of a physical model of landing gear on the basis of the principles of similarity theory.

Main partners:

- Institute of Problems of Control of the Russian Academy of Sciences,
- Institute of Applied Physics of the Russian Academy of Sciences,
- Institute of Radio Engineering and Electronics of the Russian Academy of Sciences,
- FSUE RPC "Quartz",
- FSUE "Polyot" (Nizhni Novgorod),
- Moscow Technical University of Communication and Computer Science,
- Moscow Power Institute,
- State Universities of Moscow, Kazan, St.-Petersburg, Saratov, Yaroslavl.

Main customers:
- JSC NPP "Prima",
- JSC «Hydromash».

Key projects (sources of financing):

- Projects of the Russian Foundation for Basic Research 02-01-00274 а , 05-01-00391 а , 08-01-00248 а , 02-02-17573 а , 05-02-17409 а , 06-02-16499 а , 06-01-03010 а.
- Projects of the Program «Universities of Russia », UR.03.01.014, UR.03.01.027, UR.03.01.179.
- Grant of the Education Ministry of the Russian Federation , Е 02-1.0-188.
- The analytical departmental target program of the Federal Agency for Education «Development of the scientific potential of higher education institutions», Project 1.54.06.

Main publications:

- Neimark Yu. I., Kotel’nikov I.V., Teklina L.G. Study of the mathematical model of an organism’s immune response to the intrusion of an infection using methods of pattern recognition // Pattern Recognition and Image Analysis. 2009. V. 19. No. 1. P. 181-185.
- Neimark Yu. I. Synthesis and functionalities of quasiinvariant control // Automation and telecontrol. No.10, 2008. Pp. 48-56.
- Neimark Yu. I. On quasiinvariant control. / Yu. I. Neimark // Differential Equations, No. 11, 2007. Pp. 1-6.
- Ponomarenko V.P. Dynamic modes and nonlinear effects in the oscillator with frequency-phase control // Izvestiya VUZ. Applied nonlinear dynamics. 2008. V.16.No. 6. Pp. 15-35.
- Ponomarenko V.P. Synchronization and complex oscillations in a two-ring system with phase control //Radio engineering and electronics. 2007. V. 52. No. 2. Pp. 165-175.
- Ponomarenko V.P. Dynamic modes in models of autooscillating systems with frequency and frequency-phase control // Izvestiya VUZ. Applied nonlinear dynamics. 2007. V. 15.No. 3. Pp. 33-51.
- Antonovskaya O.G., Goryunov V.I. On some peculiarities of the technique for studying the dynamics of a system with pulse-duration modulation and storing control signal// Vestnik of NNSU. Nizhni Novgorod: Publishing House of NNSU, No. 6, 2008.

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