Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
The construction of Lyapunov-Krasovskii functionals for linear time-delay system depends on so-called Lya-punov matrix. We study the problem of finding this matrix by solving the delay-free equations with specific boundary conditions. The special boundary conditions for the delay-free problem are found and it is shown, that the problem of Lyapunov matrix' finding as a solution of the boundary value problem with delay and the delay-free problem are equivalent.
Original language | English |
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Title of host publication | 8th Polyakhov's Reading |
Subtitle of host publication | Proceedings of the International Scientific Conference on Mechanics |
Editors | Elena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina |
Publisher | American Institute of Physics |
Volume | 1959 |
ISBN (Electronic) | 9780735416604 |
DOIs | |
State | Published - 2 May 2018 |
Event | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation Duration: 29 Jan 2018 → 2 Feb 2018 Conference number: 8 https://events.spbu.ru/events/polyakhov_readings http://nanomat.spbu.ru/en/node/175 http://nanomat.spbu.ru/ru/node/192 http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya |
Conference | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading |
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Country/Territory | Russian Federation |
City | Saint Petersburg |
Period | 29/01/18 → 2/02/18 |
Internet address |
ID: 37308690