Abstract The main results of this paper are related to studying the dynamics of the Van-der-Pol oscillator, which is under the influence of a driving force and a hysteretic effect, formalized by the Bouc–Wen phenomenological model. The regularizing role of the hysteretic link in the reduction of chaotic regimes is established. The main results are obtained as part of the asymptotic expansion method

Abstract The problem of forming the altitude-speed profile of the flight of civil and military transport aircraft (AC) at the ascent stage and optimization according to the economic criterion is solved using a dynamic model of the motion of the center of mass in a vertical plane. The model takes into account the change in the mass of the AC and the systematic component of the wind speed. The aerodynamic

Abstract In a flat case, we consider the task of rotating a solid body by the given angle for the minimum possible time by using a mobile mass (interacting with this body) whose movements are restricted by the interior of the given circle. The corresponding two-point time-optimal control problem for a system with three phase variables (in the presence of a phase constraint) is investigated. The presence

Abstract The method of numerical and algebraic formalization and solution of the problem of synthesizing systems with the structure of one of the four varieties of combinatorial block designs has been substantiated. Analytical representations of the blocks and duality blocks of such systems are obtained when representing elements and numbering blocks and duality blocks by initial non-negative integers

Abstract A method is developed to suppress the resonances of the transverse vibrations of the support plate of an active vibration protection device, which makes it possible to expand its active frequency range and reduce the transmission coefficient of vibrations. A second additional control loop is used to control the individual, selected resonances of the plate. Its inertial service thrusters and

Abstract Methods of solving tasks of optimizing the execution of a project‘s jobs in the field of logistics, taking into account uncertainty, are developed. Using the methods of operations research, mathematical models of the processes under study are constructed and methods for solving the problems under consideration are formulated. A number of examples are given that demonstrate the possibilities

Abstract Changes in the values of the maximal permissible flows that can be transmitted between nodes in the case of network damage are analyzed through computational experiments. At the initial stage, the maximal single-product flow is independently determined for each pair of source–sink vertices. The maximal flow vector is used to estimate the functional capability limit of the original, intact

Abstract In this paper, we consider a nonlinear conflict-controlled system on a finite time interval and in a finite-dimensional space that is constrained by nonstationary phase constraints. A convergence game problem at a fixed moment of time with a compact in the phase space of the system is studied. The stability property that is central to the theory of positional differential games is studied

Abstract Visualization of nanorelief measurements by a scanning tunneling microscope is a built-in function of the control system, which takes into account the peculiarities of the device’s operation. In order to improve the distinguishability of small formations, measurements are projected onto the underlying plane, which is chosen so that the height difference of the entire set of points is as small

Abstract The problem of tracking the trajectory of a nonlinear controlled system of differential equations under inaccurate partial discrete-time measurements of the state vector is considered. A noise-resistant algorithm for solving this problem is proposed based on feedback control theory. The algorithm consists of two blocks: a block for the dynamic recovery of the unmeasurable coordinates and a

Abstract We describe a method, which allows analyzing the influence of the errors induced by gyroscopic channel of strapdown inertial navigation system (strapdown INS) on the errors of INS autonomous mode. The method is implemented using a computer simulator of the SINS. A general approach to the procedure for modeling errors in a computer simulator with a zero test is developed. Simulation made it

Abstract In the quaternion formulation, we consider the problem of the time-optimal rotation of a spacecraft (SC) as a rigid body of an arbitrary dynamic configuration under arbitrary specified boundary conditions. In the class of generalized conical motions, the optimal rotation problem is modified, which makes it possible to obtain its analytical solution. The analytical solution to the modified

Abstract The multicriteria task of preflight and operational planning of group actions of unmanned aerial vehicles (UAVs), taking into account the required service schedule, is considered. A minimax criterion for the operational planning of group actions when the dynamic situation changes is proposed. The shape of the expert system for controlling the duration of observation during the search and detection

Abstract This paper considers the problem of designing dynamic controllers with a simple structure for a linear time-invariant dynamic system with a scalar control, a vector feedback channel, and a perturbation. A simple controller is a controller whose structure cannot be simplified: an attempt to eliminate any controller element will make the designed system not satisfy the requirements. The robustness

Abstract The method for the formation of the control of the trajectory of a quadrocopter when flying from one point to another in a dense urban development is considered. The trajectory control algorithms are worked out on a quadrocopter model, taking into account the aerodynamic forces and moments related to the flow around the vehicle and those created by the propellers of the engine. It is assumed

Abstract A constructive method for synthesizing the optimal control of deterministic and not completely determined systems with distributed parabolic parameters under the conditions of the prescribed accuracy of a uniform approximation of the terminal plant state to the required spatial distribution of the controlled variable is proposed. This approach is based on the earlier developed alternance method

Abstract The problem of constructing multiframe superresolution (SR) based on processing a sequence of low-resolution (LR) images in conditions of applicative noise (AN) is considered. The latter appear in the form of distributed areas of false or anomalous observations in LR images and are considered as an additional factor in reducing the quality of the original images, characterized by an irregular

Abstract A system with heterogeneous servers, Poisson stream with Markov modulation, and instant feedback is studied. Primary requests are serviced in a high-speed server, and after servicing, each request, according to the Bernoulli scheme, either leaves the system or requires re-servicing. Repeated requests are serviced in a slow server; at the same time, after servicing, these requests also either

Abstract A method of robust control of a specialized manipulator designed to work as part of a robotic complex for servicing vertical surfaces is proposed and studied. The complex consists of a wheeled platform, a wheeled vertical motion robot with a vacuum contact device and a manipulator. In the transport position, the robot is attached to the operating element (gripper) of the manipulator and is

Abstract The problem of the optimal placement of a nonuniform set of cargoes on board the given set of aircraft is investigated. The problem under consideration is formalized as a mixed integer linear programming problem in which the number of items on board the highest priority aircraft and the total mass of objects loaded are optimized. In this case, the priorities of the aircraft are calculated

Abstract Problems related to the optimal regulation of wholesale electricity markets in modern conditions are formulated and investigated. The models incorporate opportunities provided by new technical and economic tools: renewable energy sources and storage devices and using multipart tariffs for energy management. The optimization problems are analyzed using Lagrange’s theorem and the optimal management

Abstract The complex problem of constructing the return trajectories of a spacecraft (SC) from a circumlunar orbit before entering the Earth’s atmosphere for subsequent landing on the southern territory of the Russian Federation is considered. The problem includes two components: the choice of the conditions for the optimal impulse maneuver for the Moon–Earth flight and the determination of the descent

Abstract When a real-time advisory expert system operates onboard an anthropocentric object (manned aircraft, manned submersible, or manned motor vehicle), the crew does not have the opportunity to participate promptly in the process of solving the task of multicriterial selection of an alternative in the expert mode. The proposed method allows the crew to always obtain the recommended alternative

Abstract The formulations of problems of analysis and synthesis in multipolar communication networks with variable flow rates on the arcs of the network are considered. In contrast to traditional formulations, the concepts of flow density, flow rate, and flow intensity are introduced, and the temporal characteristics of the movement of the given volumes through the network are analyzed. Similar problems

Abstract We consider the problem of estimating the impulse characteristic of a linear time-invariant discrete-time dynamical system, using data on its input and output signals. We propose versions of estimation methods for asymptotically stable dynamical systems in the context of various approaches to the presentation of parametric uncertainty, including approaches based on the interval analysis and

Abstract This paper considers the problem of determining the position of the center-of-mass and inertia tensor of a microsatellite mockup on an air-bearing testbed by using optical measurements. The position of the mockup’s center of mass can be shifted relative to the suspension’s center by using a system of electrodynamic linear actuators and loads fixed on them. Using the equations of motion of

Abstract A problem of the synthesis of programmed motions of mechanical systems based on the use of time polynomials is considered. The programmed trajectory is selected in the class of monotonic third-order polynomials on the given time interval based on the initial and final states of the system, as well as constraints on the state and control variables. The problem of taking into account the restrictions

Abstract The problem of constructing all simple paths in an undirected graph that pairwise connect vertices from the given set is interpreted as constructing a graph that is a union of these paths. This construction relies on the computation of biconnected components and bridges of the source graph. A new algorithm which makes this computation more transparent and controllable is proposed. Its idea

Abstract Mathematical models for the deployment and adjustment of a large-sized space-based reflector are presented. Optimal control algorithms are developed for the automatic deployment of antenna elements and tuning of a radio-reflecting mesh. The results of numerical modeling are presented, showing the advantage of using the algorithm for correcting the parameters of the control structure in comparison

Abstract A method of overcoming obstacles by a hexapod robot is developed. The obstacles are formed by single cylinders of large radii or by a set of spaced cylinders of small radii that lie on a horizontal plane under the action of the gravity force; the Coulomb friction and rolling friction are taken into account. It is proved that, if the radius of a single cylinder is comparable with the robot’s

Abstract In 1973 E.W. Dijkstra introduced the notion of self-stabilization in the context of mutual exclusion. Considering the same problem on an array, we present a game theoretic analysis of self-stabilizing systems with three- ‎or four-state machines. We give a formalized definition of the problem as a game where each player’s strategy represents the state of its corresponding machine. For the three-state

Abstract Orbits that are unfavorable for the observer, whose plane passes near the orbital plane, are considered. Replacing the observer’s motion with an approximately equivalent motion in the orbital plane leads to a simple two-dimensional model to measure the motion. The Rao–Cramer bounds for the estimates of the orbital parameters are determined. The observation elevation angles are related to true

Abstract In this paper, we consider a compensation-type quartz pendulum accelerometer, a feature of which is the use of a digital feedback amplifier in the control loop (for the implementation of a discrete controller and algorithmic compensation for errors from the pendulum unbalance and temperature dependences of the zero offset and scale factor). The problem is related to the construction of a digital

Abstract The results of studies of the effectiveness of the optimal radar altimeter when tracking targets moving along trajectories of varying complexity are presented. The tracking system of the altimeter is obtained in the first part of this article by the local minimization of the quadratic-biquadratic quality functional.

Abstract This paper considers the design problem of a stochastic linear-quadratic controller over an infinite time-horizon with dynamic scaling of the coefficients in the state equation and the cost criterion. Dynamic scaling means multiplying the coefficients by a positive time-varying function. The optimality criteria used are extensions of the long-term average cost and pathwise long-term average

Abstract Generative adversarial neural networks are used to increase the resolution of satellite images of a certain class without additional data. The quality of the obtained high-resolution images is assessed by the signal-to-noise ratio and the measure of structural similarity. Based on the known loss functions used in generative adversarial neural networks, a function specific to the problem being

Abstract In this paper, an approach to numerical integration of equations governing motion of constrained mechanical systems is suggested. In this approach, unknown reaction forces acting on the system are treated as controls, and the algebraic equations that these reactions satisfy, as control goals. Based on the suggested approach, an algorithm for numerical solving rolling equations is developed

Abstract The problem of the functional diagnostics of engineering systems described by nonlinear differential equations with constant coefficients in the presence of disturbances is considered. To solve the problem of fault identification, the sliding-mode observers are used. The proposed approach is based on the idea of constructing a reduced model of the original system (a model with a lower dimension)

Abstract A sweep method is proposed for solving the optimal control problem with unseparated boundary conditions. This model reduces the boundary conditions to the initial condition. Using the properties of the J-symmetry of the corresponding Hamiltonian matrix and Euler–Lagrange equations, it is shown that linear algebraic equations for determining the missing initial data of the system being solved

Abstract We consider a small device for converting the medium’s flow energy, which is designed based on the use of a crank mechanism. A blade interacting with the flow is fixed on the connecting rod of the mechanism and the crank shaft is connected to the electric generator’s rotor. The system has a control input that allows us to control how much of the energy taken from the flow is converted into

Abstract The problems of artificial intelligence, control and decision-making with incomplete or unreliable information include a wide class of problems of abductive explanation of the observed, including cause–effect problems. The study is devoted to the substantiation of the method of logical formation of hypotheses explaining the observed. Means of knowledge representation and derivation of hypotheses

Abstract In this paper, we analyze the problems of using two-beam laser-ranging systems (often called lidars) on unmanned vehicles to ensure traffic safety and ways to solve them. A cost-effective way to implement a lidar system with controlled (adaptive) scanning of the road surface is proposed. Algorithms for processing information and controlling the inclination angle of laser beams for sounding

Abstract Iris-based identification is a well-known and widely used technology. However, its use in mobile devices is limited due to the algorithmic complexity of the existing methods and their low universality with respect to various capturing conditions. A method for finding the iris area by approximating its boundaries by two circles is proposed. The relative error of determining the circle parameters

Abstract The features of the functioning of the systems of automatic tracking of air objects, optimized according to the classical quadratic functionals, are considered, and their shortcomings are noted when tracking objects moving along complex trajectories. A variant of the solution of the problem of the local optimization of automatic tracking systems based on minimizing quadratic-biquadratic quality

Abstract The use of stochastic gradient algorithms for nonlinear optimization is of considerable interest, especially in the case of high dimensions. In this case, the choice of the step size is of key importance for the convergence rate. In this paper, we propose two new stochastic gradient algorithms that use an improved Barzilai–Borwein step size formula. Convergence analysis shows that these algorithms

Abstract In the kinematic formulation, two problems are considered for the time-optimal control of the position of a single-link pendulum fixed on a movable base that can move along the horizontal axis. In the first problem, the initial position of the pendulum is the lower, stable position of the pendulum; it is required to transfer it to the upper, unstable position resting either in an arbitrary

Abstract Recently, unmanned aerial vehicles are being used more often for reconnaissance in combat conditions. Communication with unmanned aerial vehicles must be carried out in a confidential mode to protect against the interception of control, while being fast and resistant to attacks from outside. A new algorithm for transferring confidential data, based on the properties of extremal uniform hypergraphs

Abstract We consider a system with two degrees of freedom (a pendulum on a trolley) in the case where one restricted control force is applied to the trolley. The task of a time-optimal horizontal movement to the required distance from the given equilibrium position to another identical state with the suppression of oscillations is solved. Trajectories that meet the necessary optimality conditions for

Abstract We consider a methodology for organizing hybrid computing structures to simulate abrupt changes in controlled natural processes and analyzing phases of extreme environmental phenomena. Systems of differential equations with the dynamically redefinable right-hand side at special moments (events) are used. The truth conditions for transitions are obtained from computing other equations for additional

Abstract A telematics device is modeled as a two-stream Markov one-channel priority queuing system of finite capacity equipped with a probabilistic pushing out mechanism. Its probability, \(0 \leqslant \alpha \leqslant 1\), of pushing out is the control parameter of the queuing system. It is experimentally and theoretically proved that on the plane of the load factors for high-priority and low-priority

Abstract The calculation of the set of all simple paths connecting two vertices of an undirected graph is considered. The more general problems of connecting vertices which belong to disjoint sets of vertices in a graph by all simple paths are also investigated. The connection between these problems and finding vertex biconnected components and graph bridges is established, and based on this their

Abstract The problem of logical recognition of the operating mode and dynamic estimation of the intra-mode state vector of a discrete-time stochastic Markov system with a random structure is considered. To develop an estimation algorithm implemented at the pace of system time on a computer of limited power, a method for designing a new finite-dimensional optimal structure filter is proposed. Its state

Abstract The problem is to formalize the solution of a two-person zero-sum multicriteria (MC) game, providing a payoff to both players with respect to their MC best guaranteed results. As the basic concept of the solution of the MC game, the Shapley equilibrium is selected. It is parametrized by the inverse logical convolution based on scalarization in the Germeyer sense, i.e., on the weighted maximin

Abstract As all computational programs, derivation sequences of functional dependences are twice partially ordered sets: by following the instructions in the program and by their execution in time. Order consistency is achieved by the theoretical multiple embedding of one into another. Hereinafter, such sets are referred to as cascade ordered, and there is no need to resort to the terminology of the

Abstract The concept of the Artificial Dispatcher autonomous intelligent control system for integrating into modern automatic control systems of electric networks in order to improve the efficiency of managing the modes of electric power systems is proposed. This intelligent control system is implemented based on the deep machine learning technology and joint use of the Monte Carlo tree search method

Abstract A description of the software designed for controlling robotic observatories is given. Its main features and functional capabilities are described. Special attention is paid to approaches to improving the utilization of the telescope observation time, which is its main resource. A solution for the automation of routine observational tasks the execution of which directly affects the efficiency

Abstract This paper considers the basic constructs and semantics of the action description language designed for defining and computing transformations of situation model relations (relational transformations). The main difference between this language and traditional action description languages (STRIPS, ADL, etc.) lies in the use of—in addition to the traditional (STRIPS-like) rules—their set-theoretic

Abstract An autonomous mechanical system with two rotational degrees of freedom, undergoing the action of conservative and nonconservative forces, is considered. The corresponding dynamical system contains changeable parameters that can be treated as amplifying coefficients for control actions. It is required to select the values of these parameters in order to form an autorotation mode in the system

Abstract We propose an algorithm of a dynamical model for the search-detection-recognition of objects by the onboard thermal-imaging systems operating in the wavelength ranges from 3 to 5 µm and 8 to 12 µm. We provide the main simulation results under the action with respect to ground objects, analyzing the influence of the main agents on the probabilistic-range characteristics of the scene–optical

Abstract A linear stationary system of differential-algebraic equations of an arbitrarily high unsolvability index with interval coefficients is considered. Sufficient conditions under which the general solution of the perturbed system has the same structure as the solution of the original system are obtained. These conditions are formulated as finite relations to be satisfied by the interval coefficients