Peak Estimation of Time Delay Systems Using Occupation Measures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00373284" target="_blank" >RIV/68407700:21230/23:00373284 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/CDC49753.2023.10384165" target="_blank" >http://dx.doi.org/10.1109/CDC49753.2023.10384165</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CDC49753.2023.10384165" target="_blank" >10.1109/CDC49753.2023.10384165</a>
Alternative languages
Result language
angličtina
Original language name
Peak Estimation of Time Delay Systems Using Occupation Measures
Original language description
This work proposes a method to compute the maximum value obtained by a state function along trajectories of a Delay Differential Equation (DDE). An example of this task is finding the maximum number of infected people in an epidemic model with a nonzero incubation period. The variables of this peak estimation problem include the stopping time and the original history (restricted to a class of admissible histories). The original nonconvex DDE peak estimation problem is approximated by an infinite-dimensional Linear Program (LP) in occupation measures, inspired by existing measure-based methods in peak estimation and optimal control. This LP is approximated from above by a sequence of Semidefinite Programs (SDPs) through the moment-Sum of Squares (SOS) hierarchy. Effectiveness of this scheme in providing peak estimates for DDEs is demonstrated with provided examples.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
<a href="/en/project/GJ20-11626Y" target="_blank" >GJ20-11626Y: Koopman operator framework for control of complex nonlinear dynamical systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the IEEE Conference on Decision and Control
ISBN
979-8-3503-0124-3
ISSN
0743-1546
e-ISSN
2576-2370
Number of pages
7
Pages from-to
5294-5300
Publisher name
IEEE
Place of publication
Piscataway
Event location
Singapore
Event date
Dec 13, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001166433804060