The sensitivity coefficients for dynamic systems described by interconnected difference ordinary equations and equations with the distributed memory | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2022. № 59. DOI: 10.17223/19988605/59/7

HomeIssuesThe sensitivity coefficients for dynamic systems described by interconnected difference ordinary equations and equations with the distributed memory | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2022. № 59. DOI: 10.17223/19988605/59/7

The sensitivity coefficients for dynamic systems described by interconnected difference ordinary equations and equations with the distributed memory

The variational method of calculation of sensitivity coefficients connecting first variation of quality functional (the Bolts’s problem) with variable and constant parameters for multivariate non-linear dynamic systems described by interconnected difference ordinary equations and equations with distributed memory on phase coordinates and variable parameters is developed. Sensitivity coefficients are components of sensitivity functional and they are before variations of variable and constant parameters. The base of calculation of sensitivity coefficients is the decision of object equations in the forward direction of discrete time and corresponding difference conjugate equations for Lagrange’s multipliers in the opposite direction of discrete time. The author declares no conflicts of interests.

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Keywords

variational method, sensitivity coefficient, difference equation, conjugate equation, Lagrange’s multiplier

Authors

NameOrganizationE-mail
Rouban Anatoly I.Siberian Federal Universityai-rouban@mail.ru
Всего: 1

References

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Rouban, A.I. (2021) The sensitivity coefficients for dynamic systems described by difference equations with the distributed memory on phase coordinates and variable parameters. Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie vychislitelnaya tekhnika i informatika - Tomsk State University Journal of Control and Computer Science. 57. pp. 95-100. DOI: 10.17223/19988605/57/10
The sensitivity coefficients for dynamic systems described by interconnected difference ordinary equations and equations with the distributed memory | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2022. № 59. DOI: 10.17223/19988605/59/7

The sensitivity coefficients for dynamic systems described by interconnected difference ordinary equations and equations with the distributed memory | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2022. № 59. DOI: 10.17223/19988605/59/7

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