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 Âûïóñê 24
- Aliev S. Perfect aggregation of information in multistage two-person games with a fixed order of moves and aggregate information about the partner'S choice
Two-person multistage game is considered with fixed order of moves, with perfect information at every move about the history of the game, and with aggregated information about current move of the second player. Player 1 is the first to choose his move xi(?) on every stage and at the beginning of the game announces his strategy x(?) = (x1(?), ..., xn(?)) - the complete plan for all n stages. Given the choice of player 1 and the history of the game the second player maximizes her payoff function by choosing her strategy v = (v1, v2, …, vn). The article applies the theory of Lee groups to give sufficient condition of perfect information aggregation in this game.
- Shmyrin A., Sedykh I. Algorithms of identification and operational control of neighborhood systems built on the basis of Petri nets
The algorithms of identification and control for Petri nets are considered for the point of view of neighborhood systems theory.
- Akhobadze A., Krasnova S. Tracking problem solution under uncertainty based on joint controllability and observability block form
Structural properties of linear multidimensional dynamic systems under effect of external disturbances are analyzed in tracking problem on output values. Only output variables are supposed to be measured, components of external distributions are assumed to be unknown non-smooth limited functions of time. The step-by-step transformation procedure of source linear system to joint controllability and observability block form relating to output values is developed. On the basis of the given form decomposition feedback synthesis procedure is presented that provides convergence of output variables to program trajectory with predetermined asymptotic convergence rates. The problem of information support for compositing control algorithms is solved by state observer on sliding modes.
- Epifanov A. The analysis of geometrical images of finite state mashine operation rules
Operations rules are analyzed of the discrete determined dynamic systems (finite state machine) presented in the form of geometrical images - schedules with numerical coordinates of points. As geometrical images are considered classical geometrical curves: golden spiral, Lemniscate of Bernouilli, a ballistic curve,Equiangular spiral, Archimedian spiral, Astroid, Galileo's spiral, Brachistochrone (or brachistochronous) curve etc. In article is researched dependence of number of conditions at the minimal finite state machine constructed on a curve, from power of the entrance alphabet of the finite state machine.
- Vorobkalov P., Kamaev V. Estimating the quality of E-learning systems
Existing approaches to e-learning systems quality estimation are analyzed. The “layered” approach for e-learning systems quality estimation enhanced with learning process modeling and simulation is presented. The method of quality estimation using learning process modeling and quality criteria are suggested. The learning process model based on extended colored stochastic Petri net is described. The method was implemented in the automated system of e-learning systems “QuAdS” quality estimation. Results of approbation of the method developed and quality criteria are presented. We argue that using learning process modeling for quality estimation simplifies identifying lacks of an e-learning system for an expert.
- Kartashev E., Samkov L. Online analytical processing system for territory life-support level indicators monitoring
The online analytical processing system for territory indicators monitoring developed by the authors is presented. Original model for territory life-support level indicators is suggested, original architecture of analytical system is designed, the use of social networks (the «Web 2.0» concept) for collective managerial decision-making is justified.
- Mazalov V., Pechnikov A. On the rating of official sites of scientific institutions of the Russian northwest region
On the basis of new approaches to measurements known webometrics indicators and to computation of ranging functions, ranging of sites of the scientific organizations of the Russian Academy of Sciences of the northwest of Russia is spent. Results of ranking by two techniques are analyzed and offers on continuation of researches are formulated.
- Afraimovich L., Prilutsky M. Flow search in infeasible networks
The paper covers the problem of finding flow in infeasible
transport type network with two-side arc capacities. Minimization
problem of overall penalty for capacities modification was
considered while investigating of infeasible network flow models.
Proposed algorithm of solving the considered problem is based on
reduction to min-cost network flow problem. In the case of
tree-like network algorithm of solving the considered problem
based on bounds reduction method is proposed.
- Denin K. Mathematical model of plural corruption in sustainable development hierarchical control system
Two-level hierarchical game model of quotes allocation with plural venal activity is analyzed using hierarchical control methods to suit the conditions of sustainable development. The Follower’s response sets and optimal players’ payoffs are considered. Corruption classification according to its rigidity is proposed. Limitation of incentive method applicability is illustrated.
- Kartashov V., Khorosheva T. Models of algorithm and process of social rehabilitation (case of "risk group" children)
The processes of social rehabilitation are complex guided dynamic processes. Their complexity is determined by the nature of the subject including the complex rating system of subject states in rehabilitation process and high monitoring costs. The research describes calculation of efficiency rating of individual rehabilitation programs based on the algorithm and the rehabilitation process models. Model is built on the basis of structural-parametric identification by input-output measures. Proposed method is implemented for rehabilitation of children from "risk group".
- Novikov D. Structure of the theory of socio-economic systems management
The structure of the theory of socio-economic systems management is considered. Its components are: subjects of management, scheme of managerial activity, methods, types, forms, conditions, functions, principles, tasks, and mechanisms of management.
- Andrievsky B. Global Stabilization of the Unstable Reaction-wheel Pendulum
The paper deals with the problem of the Reaction Wheel Pendulum stabilization about unstable (inverted) position for arbitrary initial conditions. Considered mechanical system consists of a physical pendulum with a symmetric disk attached to the end of the pendulum, which is free to spin about an axis parallel to the axis of rotation of the pendulum. The disk is actuated by a DC-motor. The coupling torque generated by the angular acceleration of the disk is used to control of the pendulum. The switching control law is proposed to swinging up the pendulum and balancing it about the inverted position. The nonlinear swinging up control law is proposed ensuring global stabilization of thr pendulum about inverted position. The Energy-based Speed-gradient (EBSG) control scheme is used to designing the swinging-up controller. The modification of the EBSG method is proposed to ensure attainability of the inverted position of the pendulum for all initial states of the system. The balance controller is designed on the basis of The sliding-mode Variable Structure Control approach is used for designg the balance controller. The parameter estimation procedure based on Kalman Filtering concept is developed to cope with a-priory parametric uncertainty. Numerical simulation results are presented showing achievement of the posed control goal by means of the control action of small magnitude.}
- Sharov S. Specificity of the Earth surface monitoring via geostationary geosynchronous Earth orbit satellite radar
A problem is considered of design the spacecraft surveillance
radar with the reflector antenna, ensuring high-accuracy and high
resolution ground location of the prescribed Earth area.
Peculiarities of Earth monitoring via the radar with
phase-shift keyed signal are studied. For a multi-beam radar of
the geostationary geosynchronous Earth orbit
satellite the algorithm of switching the partial directional
paths is proposed, providing the uniform precip of the area of
interest with the highest possible density of the probing beams
for the minimal time under conditions of uniform satellite
rotation about the centroidal axis and the constant probing
frequency. The numerical example is presented showing
effectiveness of the proposed algorithm.
- Sizikov A. SMONNP software (system of oil refinery and petrochemistry production optimization)
The problem of optimization of oil refinery production as a complex system is presented. Mathematical models and methods embodied in software product developed by the author are described.
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