scholarly journals Application of Mini-Batch Metaheuristic Algorithms in Problems of Optimization of Deterministic Systems with Incomplete Information about the State Vector

Algorithms ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 332
Author(s):  
Andrei V. Panteleev ◽  
Aleksandr V. Lobanov
Keyword(s):  
Incomplete Information ◽  
State Vector ◽  
Random Search ◽  
Feedback System ◽  
Zero Order ◽  
The State ◽  
Measuring System ◽  
Deterministic Systems ◽  
Initial States ◽  
Set Of Initial States

In this paper, we consider the application of the zero-order mini-batch optimization method in the problem of finding optimal control of a pencil of trajectories of nonlinear deterministic systems in the case of incomplete information about the state vector. The pencil of trajectories originates from a given set of initial states. To solve the problem, the structure of a feedback system is proposed, which contains models of the plant, measuring system, nonlinear state observer and control law of the fixed structure with unknown coefficients. The objective function proposed considers the quality of pencil of trajectories control, which is estimated by the average value of the Bolz functional over the given set of initial states. Unknown control laws of a plant and an observer are found in the form of expansions in terms of orthonormal systems of basis functions, which are specified on the set of possible states of a dynamical system. The original pencil of trajectories control problem is reduced to a global optimization problem, which is solved using the well-proven zero-order method, which uses a modified mini-batch approach in a random search procedure with adaptation. An algorithm for solving the problem is proposed. The satellite stabilization problem with incomplete information is solved.

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

Propaganda as a means of implementing the ideological function of the state

2020 ◽  
Vol 2020 (3) ◽  
pp. 10-14
Author(s):  
Aleksey Bredikhin ◽  
Andrei Udaltsov
Keyword(s):  
Mass Media ◽  
Feedback System ◽  
Legal Framework ◽  
The State ◽  
The Political ◽  
Special Position ◽  
Equal Footing ◽  
Constitutional Order ◽  
Political Situation ◽  
The Mass Media

In the article the authors analyze the essence of propaganda as a means of implementing ideological function of the state. It is noted that propaganda is a mechanism of spreading information persuasive influence in the interpretation and estimation of state power representatives. The structure of propaganda is determined: beneficiary of propaganda, subjects of propaganda, content of propaganda, channels of realization of propaganda, addressee of propaganda, feedback system. Types of propaganda are distinguished: political, axiological, educational, preventive. The authors come to the conclusion that the basic directions and the propaganda content are established in normative acts and the programs and organizational actions accepted according to them. Along with the implementation of propaganda, the ideological function is implemented by prohibiting or restricting propaganda or other dissemination of information that endangers the foundations of the constitutional order and is otherwise aimed at destabilizing the political situation in the State, as well as prohibiting the propaganda of ideas that may harm the foundations of morality and morality. The mass media are essential in carrying out propaganda. The State widely uses this resource on an equal footing with other actors to disseminate ideas of public importance and uses the services of various communication agencies. However, the state forms a legal framework for the mass media, their rights and limitations, which still determines the special position of the state in this process.

The analysis is geometrically stable orbits of spacecraft remote sensing of the Еarth

2018 ◽  
Vol 15 (1) ◽  
pp. 12-22
Author(s):  
V. M. Artyushenko ◽  
D. Y. Vinogradov
Keyword(s):  
Remote Sensing ◽  
Gravitational Field ◽  
State Vector ◽  
Semimajor Axis ◽  
The State ◽  
Zonal Harmonics ◽  
The Earth ◽  
Conditions Of Stability

The article reviewed and analyzed the class of geometrically stable orbits (GUO). The conditions of stability in the model of the geopotential, taking into account the zonal harmonics. The sequence of calculation of the state vector of GUO in the osculating value of the argument of the latitude with the famous Ascoli-royski longitude of the ascending node, inclination and semimajor axis. The simulation is obtained the altitude profiles of SEE regarding the all-earth ellipsoid model of the gravitational field of the Earth given 7 and 32 zonal harmonics.

Does information about others’ behavior undermine cooperation in social dilemmas?

2016 ◽  
Vol 20 (2) ◽  
pp. 260-274 ◽  
Author(s):  
Craig D. Parks ◽  
Xiaojing Xu ◽  
Paul A. M. Van Lange
Keyword(s):  
Incomplete Information ◽  
Behavior Pattern ◽  
Social Information ◽  
Social Dilemmas ◽  
Environmental Information ◽  
The State ◽  
Resource Information ◽  
Resource Dilemma

This project addresses how and why behavior in a resource dilemma differs when one only knows the choices of others versus only knows the state of the resource. Study 1 suggested that resource information is more valuable than social information, in that if the resource can be monitored, whether or not others’ choices can also be monitored has no impact on behavior. However, if the state of the resource is not known, the ability to know what others are doing is critical for cooperation. This seems to be because resource information encourages planning and long-term thinking, and social information encourages comparative thinking. Study 2 replicated the behavior pattern, revealed—surprisingly—that warnings that a resource is critically low undermine (rather than promote) cooperation, and that such responses depend on the availability of social and environmental information. Discussion focuses on how incomplete information about a resource might be addressed.

Measurement of the Pulverized Coal Concentration by Measuring the Time Delay of Ultrasonic with Digital Correlation Method

2013 ◽  
Vol 333-335 ◽  
pp. 359-364
Author(s):  
Ke Wang
Keyword(s):  
Time Delay ◽  
Power Plant ◽  
Correlation Method ◽  
The State ◽  
Pulverized Coal ◽  
Measuring System ◽  
Digital Correlation ◽  
Coal Boiler ◽  
Key Parameter

The pulverized coal concentration in blast pipe in front of firebox is one key parameter in coal boiler used in a power plant; it will affect the state of burning in firebox. This paper proposes a new digital correlation method to measure the time delay of ultrasonic for measuring the pulverized coal concentration. The principle of measurement is discussed in detail and the measuring system is designed.

Teaching the Future of Technology in the History Classroom: A Case Study

2018 ◽  
Vol 10 (4) ◽  
pp. 253-262 ◽  
Author(s):  
David J. Staley
Keyword(s):  
Incomplete Information ◽  
The State ◽  
Historical Inquiry ◽  
Social Scientists ◽  
Traditional Methods ◽  
Research Seminar ◽  
Historical Method ◽  
The Future ◽  
The Right

This article will describe how historians can teach the future of technology. Historians need not alter their traditional methods of historical inquiry to teach the future, and indeed the history classroom is a natural site for foresight education. Historical inquiry begins with questions, and futuring similarly begins with asking the right questions. The historian seeks out evidence, and futurists as well identify drivers and blockers, considering how these drivers and blockers will interact with each other. In contrast to social scientists, historians work with imperfect or incomplete information, an apt description of the state of our evidence about the future. In a manner similar to historians, futurists interpret and draw inferences from evidence. After the research an analysis of the evidence is complete, the historian/futurist writes representations. This article will describe how I employed the historical method to teach the future of technology in a history research seminar, the results produced by the students, and ways that the study of the future can be situated in the history classroom.

scholarly journals Control Systems and Number Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-28
Author(s):  
Fuhuo Li
Keyword(s):  
Zeta Functions ◽  
Feedback System ◽  
State Equation ◽  
The State ◽  
Point Of View ◽  
Pid Controllers ◽  
Primary Concern ◽  
Feedback Connection ◽  
Proper Understanding ◽  
Natural Way

We try to pave a smooth road to a proper understanding of control problems in terms of mathematical disciplines, and partially show how to number-theorize some practical problems. Our primary concern is linear systems from the point of view of our principle of visualization of the state, an interface between the past and the present. We view all the systems as embedded in the state equation, thus visualizing the state. Then we go on to treat the chain-scattering representation of the plant of Kimura 1997, which includes the feedback connection in a natural way, and we consider theH∞-control problem in this framework. We may view in particular the unit feedback system as accommodated in the chain-scattering representation, giving a better insight into the structure of the system. Its homographic transformation works as the action of the symplectic group on the Siegel upper half-space in the case of constant matrices. Both ofH∞- and PID-controllers are applied successfully in the EV control by J.-Y. Cao and B.-G. Cao 2006 and Cao et al. 2007, which we may unify in our framework. Finally, we mention some similarities between control theory and zeta-functions.

scholarly journals Combined assimilation of streamflow and snow water equivalent for mid-term ensemble streamflow forecasts in snow-dominated regions

2016 ◽  
Author(s):  
Jean M. Bergeron ◽  
Mélanie Trudel ◽  
Robert Leconte
Keyword(s):  
Data Assimilation ◽  
State Vector ◽  
Snow Water Equivalent ◽  
Synthetic Data ◽  
Hydrologic Model ◽  
Open Loop ◽  
The State ◽  
Wide Range ◽  
Snow Water ◽  
The Impact

Abstract. The potential of data assimilation for hydrologic predictions has been demonstrated in many research studies. Watersheds over which multiple observation types are available can potentially further benefit from data assimilation by having multiple updated states from which hydrologic predictions can be generated. However, the magnitude and time span of the impact of the assimilation of an observation varies according not only to its type, but also to the variables included in the state vector. This study examines the impact of multivariate synthetic data assimilation using the Ensemble Kalman Filter (EnKF) into the spatially distributed hydrologic model CEQUEAU for the mountainous Nechako River located in British-Columbia, Canada. Synthetic data includes daily snow cover area (SCA), daily measurements of snow water equivalent (SWE) at three different locations and daily streamflow data at the watershed outlet. Results show a large variability of the continuous rank probability skill score over a wide range of prediction horizons (days to weeks) depending on the state vector configuration and the type of observations assimilated. Overall, the variables most closely linearly linked to the observations are the ones worth considering adding to the state vector. The performance of the assimilation of basin-wide SCA, which does not have a decent proxy among potential state variables, does not surpass the open loop for any of the simulated variables. However, the assimilation of streamflow offers major improvements steadily throughout the year, but mainly over the short-term (up to 5 days) forecast horizons, while the impact of the assimilation of SWE gains more importance during the snowmelt period over the mid-term (up to 50 days) forecast horizon compared with open loop. The combined assimilation of streamflow and SWE performs better than its individual counterparts, offering improvements over all forecast horizons considered and throughout the whole year, including the critical period of snowmelt. This highlights the potential benefit of using multivariate data assimilation for streamflow predictions in snow-dominated regions.

scholarly journals ISAR Signal Tracking and High-Resolution Imaging by Kalman Filtering

2021 ◽  
Vol 13 (17) ◽  
pp. 3389
Author(s):  
Pei Ye ◽  
Meng-Dao Xing ◽  
Xiang-Gen Xia ◽  
Guang-Cai Sun ◽  
Yachao Li ◽  
...  
Keyword(s):  
High Resolution ◽  
Kalman Filtering ◽  
State Vector ◽  
Observation Time ◽  
The State ◽  
Range Resolution ◽  
Resolution Image ◽  
High Resolution Image ◽  
Reconstruction Performance ◽  
Short Observation Time

In a short observation time, after the range alignment and phase adjustment, the motion of a target can be approximated as a uniform rotation. The radar observing process can be simply described as multiplying an observation matrix on the ISAR image, which can be thought of as a linear system. It is known that the longer observation time is, the higher cross-range resolution is. In order to deal with the conflict between short observation time and high cross-range resolution, we introduce Kalman filtering (KF) into the ISAR imaging and propose a novel method to reconstruct a high-resolution image with short time observed data. As KF has excellent reconstruction performance, it leads to a good application in ISAR image reconstruction. At each observation aperture, the reconstructed image denotes the state vector in KF at the aperture time. It is corrected by a two-step KF process: prediction and update. As iteration continues, the state vector is gradually corrected to a well-focused high-resolution image. Thus, the proposed method can obtain a high-resolution image in a short observation time. Both simulated and real data are applied to demonstrate the performance of the proposed method.

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