A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial

Vanya Barseghyan and Svetlana Solodusha ()
Additional contact information
Vanya Barseghyan: Institute of Mechanics, The National Academy of Sciences of the Republic of Armenia, Yerevan State University, Yerevan 0019, Armenia
Svetlana Solodusha: Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, Russia

Mathematics, 2024, vol. 12, issue 3, 1-15

Abstract: We consider a two-layer biological object consisting of layers with different thermophysical characteristics and subjected to laser radiation. Using the method of separation of variables and methods of control theory for finite-dimensional systems, we developed a constructive approach to constructing a control function for the thermal effect of a laser beam on a two-layer biomaterial. Under the controlled thermal influence of a laser beam, the distribution of the temperature state in a two-layer biomaterial transitions from the initial state to the final one during a given time period.

Keywords: multilayer biological material; thermal effect of a laser beam; thermal process; boundary control; temperature state; method of separation of variables (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/3/374/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/3/374/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:3:p:374-:d:1325526

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().