Mathematical modeling of complex dynamic technical and economic systems

Stakhiv, Petro; Franko, Yuriy; Moskalyk, S.

doi:10.1109/tcset.2002.1015877

Cited by 4 publications

(2 citation statements)

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“…- Despite the fact that Visual Modeler represents a modular type of simulator, the balance of the pressure stream is not calculated separately for each block, but simultaneously for the whole process model [3].…”

Section: Review Of Modern Tools For Dynamic Modelingmentioning

confidence: 99%

Simulation of pump performance control schemes with the use of the virtual model of the process

2017

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Abstract. The research of pump performance control schemes based on bypassing depending on the moving medium is carried out with the use of the virtual model of the process. Such approach speeds up and simplifies the development and reduces the risk of errors made by the developer in the execution of routine operations. Unlike theoretical methods of research, the virtual model of the process allows the developer to concentrate on the physics of simulated actions or the principles of the functioning of technological systems, without delving into the subtleties of programming. It is established that this simulator will significantly improve the operator's work, provide high-quality process control, and will also allow to ensure safe operation in the real conditions in the chemical-technological production.

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Section: Review Of Modern Tools For Dynamic Modelingmentioning

confidence: 99%

Simulation of pump performance control schemes with the use of the virtual model of the process

2017

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“…erefore, the economic cybernetics model generally adopts the discrete-time form, and its mathematical form of the state-space equation is the first-order difference equation x(k+1) � Ax(k)+Bx(k). System mathematics model is a system of difference equations in addition to economic cybernetics model [9,10], especially applied to short-and long-term repeated game behaviors of two parallel supply chains based on government subsidy in the vehicle market [11], supply chain coordination in the presence of uncertain yield and demand [12], and a timebased pricing game in a competitive vehicle market regarding the intervention of carbon emission reduction [13], as well as HIV biomedical systems [14] and discrete-time systems [15]. e main mathematical tool for solving the difference equation is the z-transformation in the signal system theory [16].…”

Section: Introductionmentioning

confidence: 99%

New Method of Solving the Economic Complex Systems

Yang

Chen

2020

Discrete Dynamics in Nature and Society

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In this study, the authors first develop a direct method used to solve the linear nonhomogeneous time-invariant difference equation with the same number for inputs and outputs. Economic cybernetics is the crystallization for the integration of economics and cybernetics. It analyzes the stability, controllability, and observability of the economic system by establishing a system model and enables people to better understand the characteristics of the economic system and solve economic optimization problems. The economic model generally applies the discrete recurrence difference equation. The significant analytic approach for the difference equation is the z-transformation technique. The z-transformation state of the economic cybernetics state-space difference equation generally is a rational function with the same power for the numerator and the denominator. The proposed approach will take the place of the traditional methods without all annoying procedures involving the long division of some complicated polynomials, the expanded multiplication of many polynomial factors, the differentiation of some complicated polynomials, and the complex derivations of all partial fraction parameters. To highlight the novelty of this research, this study especially applies the proposed theorems originally belonging to engineering to the field of economic applications.

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