Optimal Sets of Practical Stability of Differential Inclusions

Garashchenko, Fedor G.; Pichkur, V. V.

doi:10.1615/jautomatinfscien.v35.i3.10

Cited by 3 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

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

show abstract

“…The main results in this prospect are due to Martynyuk and his collaborators [2][3][4]. See also [5] and [6] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, the theory of practical stability has been developed very intensively [3,5,[7][8][9][10][11][12][13][14][15][16][17]. Numerous results have been obtained by means of the comparison method.…”

Section: Introductionmentioning

confidence: 99%

Stability of impulsive systems depending on a parameter

Ghanmi

2015

Math Methods in App Sciences

View full text Add to dashboard Cite

In this paper, we present a practical exponential stability result for impulsive dynamic systems depending on a parameter. Stability theorem and converse stability theorem are established by employing the second Lyapunov method. These theorems are used to analyze the practical exponential stability of the solution of perturbed impulsive systems and cascaded impulsive systems, depending on a parameter. Copyright © 2015 John Wiley & Sons, Ltd.

show abstract