학술논문

Parameters identification of the multispecies Lotka-Volterra model using discrete algorithm
Document Type
Conference
Source
2023 7th Scientific School Dynamics of Complex Networks and their Applications (DCNA) Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2023 7th. :237-240 Sep, 2023
Subject
Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Parameter estimation
Perturbation methods
Heuristic algorithms
Computer simulation
Computational modeling
Complex networks
Mathematical models
Lotka-Volterra model
Parameters identification
Hyperplanar trajectory
recurrence aim inequalities method
Language
ISSN
2770-744X
Abstract
In paper the problem of identifying the parameters of the generalized Lotka-Volterra model is studied. We found conditions under which the discrete algorithm ’’Stripe" proposed by V. A. Yakubovich achieves the identification goals. It is proved that the conditions are not essentially restrictive. The notion of a nonhyperplanar trajectory is introduced. It is proved that for any recurrent nonhyperplanar trajectory, the persistent excitation condition is satisfied.