Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data
In this paper, we propose a method for identifying the parameters of the multispecies Lotka-Volterra model based on sampled data. The conditions (nonhyperplanarity, recurrence) under which the “Stripe” algorithm achieves the identification goals are found. The relation between nonhyperplanar recurre...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/2/248 |
| _version_ | 1797343075057532928 |
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| author | Aleksandr Semenov Alexander Fradkov |
| author_facet | Aleksandr Semenov Alexander Fradkov |
| author_sort | Aleksandr Semenov |
| collection | DOAJ |
| description | In this paper, we propose a method for identifying the parameters of the multispecies Lotka-Volterra model based on sampled data. The conditions (nonhyperplanarity, recurrence) under which the “Stripe” algorithm achieves the identification goals are found. The relation between nonhyperplanar recurrent trajectories and the persistent excitation condition for systems of general form is studied. |
| first_indexed | 2024-03-08T10:42:26Z |
| format | Article |
| id | doaj.art-9b6f2384d9f94542ad0e25e7c3f99cba |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T10:42:26Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9b6f2384d9f94542ad0e25e7c3f99cba2024-01-26T17:31:32ZengMDPI AGMathematics2227-73902024-01-0112224810.3390/math12020248Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled DataAleksandr Semenov0Alexander Fradkov1Institute for Problems in Mechanical Engineering, 199178 Saint Petersburg, RussiaInstitute for Problems in Mechanical Engineering, 199178 Saint Petersburg, RussiaIn this paper, we propose a method for identifying the parameters of the multispecies Lotka-Volterra model based on sampled data. The conditions (nonhyperplanarity, recurrence) under which the “Stripe” algorithm achieves the identification goals are found. The relation between nonhyperplanar recurrent trajectories and the persistent excitation condition for systems of general form is studied.https://www.mdpi.com/2227-7390/12/2/248Lotka-Volterra modelparameters identificationnonhyperplanar trajectorymethod of recurrent goal inequalities“Stripe” algorithm |
| spellingShingle | Aleksandr Semenov Alexander Fradkov Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data Mathematics Lotka-Volterra model parameters identification nonhyperplanar trajectory method of recurrent goal inequalities “Stripe” algorithm |
| title | Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data |
| title_full | Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data |
| title_fullStr | Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data |
| title_full_unstemmed | Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data |
| title_short | Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data |
| title_sort | identification of parameters of conservative multispecies lotka volterra system based on sampled data |
| topic | Lotka-Volterra model parameters identification nonhyperplanar trajectory method of recurrent goal inequalities “Stripe” algorithm |
| url | https://www.mdpi.com/2227-7390/12/2/248 |
| work_keys_str_mv | AT aleksandrsemenov identificationofparametersofconservativemultispecieslotkavolterrasystembasedonsampleddata AT alexanderfradkov identificationofparametersofconservativemultispecieslotkavolterrasystembasedonsampleddata |