Modeling of Stochastic Von Neumann Model of Mobile Service

2011 ◽  
Vol 474-476 ◽  
pp. 11-14
Author(s):  
Fang Qin Xu ◽  
Lei Jiang
Keyword(s):  
Singular Systems ◽  
Mobile Services ◽  
Mobile Service ◽  
Output Process ◽  
Input Output ◽  
Parameter Uncertainties ◽  
Von Neumann ◽  
General Systems ◽  
The Stability ◽  
Neumann Model

A stochastic Von Neumann model to describe companies’ input-output process on mobile services is provided. Through the theories from input-output economics, an extended singular stochastic Von Neumann model on mobile service is researched. The problem of stability of this kind of stochastic Von Neumann model on mobile services is researched. A new mathematic method is applied to study the singular systems without converting them into general systems. The parameter uncertainties are considered. A new stability criterion for the extended stochastic Von Neumann model is given to ensure the stability of input-output model.

Stable Computer Control Algorithm of Von Neumann Model

2013 ◽  
Vol 634-638 ◽  
pp. 4026-4029
Author(s):  
Xiu Mei Wu ◽  
Tao Zi Si ◽  
Lei Jiang
Keyword(s):  
Control Algorithm ◽  
State Feedback ◽  
Singular Systems ◽  
Computer Control ◽  
Linear Matrix ◽  
Input Output ◽  
Von Neumann ◽  
General Systems ◽  
Feedback Stability ◽  
Neumann Model

The problem of computer control algorithm for the singular Von Neumann input-output model is researched. A kind of new mathematic method is applied to study the singular systems without converting them into general systems. A kind of stability condition under which the singular input-output model is admissible is proved with the form of linear matrix inequality. Based on this, a new state feedback stability criterion is established. Then the formula of a desired state feedback controller is derived.

The problem of measuring the quantity of output in the input–output model by W. Leontief in modeling the trends in economic reproduction of nations and regions

2021 ◽  
Vol 19 (8) ◽  
pp. 1568-1592
Author(s):  
Nikolai I. KURYSHEV
Keyword(s):  
Input Output ◽  
Von Neumann ◽  
Output Matrix ◽  
Production And Consumption ◽  
Production Quantity ◽  
Mathematical Analyses ◽  
Neumann Model ◽  
Product Output ◽  
The Relationship ◽  
Cost Characteristics

Subject. This article deals with the problem of constructing a Leontief's input–output matrix. Objectives. The article aims to determine the rules for constructing a Leontief's input–output matrix on the basis of data on production time and quantity of product output. Methods. For the study, I used the methods of logical and mathematical analyses. Results. The article formulates the rules for constructing a Leontief's input–output matrix, taking into account differences in the time of production, quantity of output, as well as the conditions for the reproduction of the resources expended. It summarizes these rules for the J. von Neumann model. Conclusions. The proposed approach to the analysis of the material mechanism of economic reproduction defines the relationship between the quantitative and cost characteristics of the production and consumption of products and resources. This relationship opens up new opportunities for the application of input–output models to create simple and accurate algorithms for identifying and predicting the macroeconomic trends.

Extension of Von Neumann Model of National Economic System

2011 ◽  
Vol 55-57 ◽  
pp. 101-104
Author(s):  
Yong Heng Li ◽  
Xia Li
Keyword(s):  
Linear System ◽  
Economic System ◽  
Discrete Time ◽  
Singular System ◽  
Von Neumann ◽  
Sufficient Stability Condition ◽  
National Economic ◽  
Economical System ◽  
The Stability ◽  
Neumann Model

The Von Neumann Model on national economical system is investigated. A new discrete-time input-output model on national economic system based on the classic Von Neumann Model is provided and the stability of this kind of model is researched. This new system belongs to the singular system. By the new mathematic method, this singular linear system will not be converted into the general linear system. Finally, a sufficient stability condition under which the discrete-time singular Extended Von Neumann Model is admissible is proved.

Robust D-stability analysis for linear discrete-time singular systems with structured parameter uncertainties and delayed perturbations

2003 ◽  
Vol 217 (1) ◽  
pp. 1-5
Author(s):  
S-H Chen
Keyword(s):  
Discrete Time ◽  
Stability Problem ◽  
Singular Systems ◽  
Singular System ◽  
Sufficient Condition ◽  
Circular Region ◽  
Parameter Uncertainties ◽  
Stability Robustness ◽  
Robustness Criterion ◽  
The Stability

In this paper, the robust D-stability problem (i.e. robust eigenvalue-clustering in a specified circular region problem) of linear discrete-time singular systems with structured (elemental) parameter uncertainties and delayed perturbations is investigated. Under the assumptions that the nominal discrete-time singular system is regular and impulse free and has all its finite eigenvalues lying inside a specified circular region, a new sufficient condition is proposed to preserve the assumed properties when the structured (elemental) parameter uncertainties and delayed perturbations are added into the nominal discrete-time singular system. When all the finite eigenvalues lie inside the unit circle of the z plane, the proposed criterion will become the stability robustness criterion. An example is given to demonstrate the applicability of the proposed sufficient condition.

Unbounded Linear Operators

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Von Neumann ◽  
Limit Circle ◽  
Sectorial Operators ◽  
Closed Operators ◽  
The Stability ◽  
Symmetric Operators ◽  
Unbounded Linear Operators ◽  
Special Case

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.

Input-Output Analysis of Environmental Protection Industry

2014 ◽  
Vol 1073-1076 ◽  
pp. 2700-2703
Author(s):  
Lei Jiang ◽  
Shou Zhong Hu ◽  
Xiao Xiao Xu
Keyword(s):  
Environmental Protection ◽  
Singular Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Input Output ◽  
Output Analysis ◽  
Input Output Analysis ◽  
Sufficient Stability Condition ◽  
Sufficient Stability ◽  
Output System

This paper investigates the run of environmental protection industry input-output model. A new mathematic method is applied to study this kind of singular input-output system. With this new method, we need not convert singular systems into general linear systems. A sufficient stability condition under which an environmental protection industry input-output model is stable is proved. This condition is in the form of linear matrix inequality and can be easily tested by computers.

Quantum gate operations using atomic qubits through cavity input-output process

2009 ◽  
Vol 87 (5) ◽  
pp. 50005 ◽  
Author(s):  
J. Song ◽  
Y. Xia ◽  
H.-S. Song
Keyword(s):  
Quantum Gate ◽  
Output Process ◽  
Input Output

scholarly journals On the exact and numerical solutions to a nonlinear model arising in mathematical biology

2018 ◽  
Vol 22 ◽  
pp. 01061 ◽  
Author(s):  
Asif Yokus ◽  
Tukur Abdulkadir Sulaiman ◽  
Haci Mehmet Baskonus ◽  
Sibel Pasali Atmaca
Keyword(s):  
Analytical Solutions ◽  
Numerical Solutions ◽  
Soliton Solutions ◽  
Hyperbolic Function ◽  
Von Neumann ◽  
Convection Diffusion Equation ◽  
Wolfram Mathematica ◽  
Forward Difference ◽  
Von Neumann Analysis ◽  
The Stability

This study acquires the exact and numerical approximations of a reaction-convection-diffusion equation arising in mathematical bi- ology namely; Murry equation through its analytical solutions obtained by using a mathematical approach; the modified exp(-Ψ(η))-expansion function method. We successfully obtained the kink-type and singular soliton solutions with the hyperbolic function structure to this equa- tion. We performed the numerical simulations (3D and 2D) of the obtained analytical solutions under suitable values of parameters. We obtained the approximate numerical and exact solutions to this equa- tion by utilizing the finite forward difference scheme by taking one of the obtained analytical solutions into consideration. We investigate the stability of the finite forward difference method with the equation through the Fourier-Von Neumann analysis. We present the L2 and L∞ error norms of the approximations. The numerical and exact approx- imations are compared and the comparison is supported by a graphic plot. All the computations and the graphics plots in this study are car- ried out with help of the Matlab and Wolfram Mathematica softwares. Finally, we submit a comprehensive conclusion to this study.

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