On Maximal Initial Data Set in Problems of Practical Stability of Discrete System

Bashnyakov, Alexander N.; Pichkur, V. V.; Khitko, Ivan V.

doi:10.1615/jautomatinfscien.v43.i3.10

Cited by 10 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Prony method [1,4] is a method of analyzing short segments of a signal based on the approximation of a signal to a finite sum of complex exponents, which approximates the sequence of complex data of a model consisting of p damped complex exponents:…”

Section: The Proposed Methodsmentioning

confidence: 99%

“…However, there are known reasons limiting the use of Fourier transforms in the analysis of short signals, such as digital radio pulses, for example, the use of DFT for time-truncated signals leads us to the Gibbs effect, which distorts information on the signal spectrum and does not allow for high accuracy in spectral region in the analysis of harmonic components [1][2][3]. In [4][5][6] describes the Fourier transform, more attention is paid to the description of window transformations. This improves the use of these transformations, namely the use of window Fourier transforms improves the estimation of spectra but does not completely solve the problem of detecting pulse signals, which may be signals of illegal means of obtaining information.…”

Section: Literature Analysis and Problem Statementmentioning

confidence: 99%

See 1 more Smart Citation

The method of spectral analysis of the determination of random digital signals

Лаптєв

Tkachev

Maystrov

et al. 2022

Int. j. commun. netw. inf. secur.

View full text Add to dashboard Cite

The methods of spectral analysis based on the use of any model to describe the signal are considered in the article, while using them some assumptions about the behavior of the signal outside the observation interval are made. The task of spectral analysis or evaluation, in this case, is to find the parameters of the model used, which is selected based on the available a priori information about the studied process.A new spectral analysis method is proposed, which uses the partially classical Prony method, and this method has been improved by replacing the damping sine wave with the use of damped sine wave.Replacing damped sine wave with the use of non-damped sine wave, allows you to very accurately isolate the signal and determine its characteristics against the background of very rich in interference with air space, against the background of radio devices that work legally. For the first time, a fast conversion algorithm was applied to solve the normal equations for finding variables to sequentially determine the parameters of random short-term signals such as amplitude, frequency, and phase. It is suggested to determine not only static parameters but also the rate of change of these parameters. Speed of change of parameters allows determining more carefully the signal of the means of silent receiving of information.Modeling of processes of determination of random short-term pulses simulating digital signals of the means of silent receiving of information is carried out, on the basis of the proposed method of spectral analysis, the simulation results are presented in the form of three-dimensional graphs.The main difference is the use not only of the analysis of the amplitude, frequency, phase, and spectrum of the signal but the main analysis of the spectral density of the signal.Analyzes of the simulation result fully confirm the advantages of the proposed method for the determination of random short-term pulses.

show abstract

Section: The Proposed Methodsmentioning

confidence: 99%

Section: Literature Analysis and Problem Statementmentioning

confidence: 99%

The method of spectral analysis of the determination of random digital signals

Лаптєв

Tkachev

Maystrov

et al. 2022

Int. j. commun. netw. inf. secur.

View full text Add to dashboard Cite

show abstract

“…Thus, the problems of analysis of their stability and asymptotic behavior are discussed in [11,12,16,[18][19][20][21]. The conditions of practical stability of discrete systems are established in [2,[5][6][7]21]. If the right-hand side of a discrete system contains undefined deterministic parameters, then we get a discrete inclusion.…”

mentioning

confidence: 99%

Maximum set of initial conditions for the problem of weak practical stability of a discrete inclusion

Pichkur

Sasonkina

2013

J Math Sci

View full text Add to dashboard Cite

show abstract

“…At the same time, in the automation of such processes in practice it is necessary to set control tasks describing the design conditions for the control function u providing controlled purposeful execution of the process. In addition, it is advisable to provide conditions for practical stability for these processes [13][14][15][16][17][18].…”

Section: Mathematical Model Of the Production Process Management System Of An Industrial Enterprisementioning

confidence: 99%

Mathematical Model and Control Design of a Functionally Stable Technological Process

Pichkur

Sobchuk

2021

JODEA

View full text Add to dashboard Cite

The paper suggests an approach to modeling of industrial enterprises providing production according to the set standard with admissible tolerances and requirements. The mathematical model has the form of a discrete control system. We use the properties of generalized inverse matrices to design the control. We present an algorithm of the control of a production process providing release of production. This approach allows to simulate the technological processes (including metallurgical, chemical, energy, etc.) and gives the operating conditions under the constant influence of internal and external destabilizing factors.

show abstract

On Maximal Initial Data Set in Problems of Practical Stability of Discrete System

Cited by 10 publications

References 0 publications

The method of spectral analysis of the determination of random digital signals

The method of spectral analysis of the determination of random digital signals

Maximum set of initial conditions for the problem of weak practical stability of a discrete inclusion

Mathematical Model and Control Design of a Functionally Stable Technological Process

Contact Info

Product

Resources

About