| Issue |
E3S Web Conf.
Volume 623, 2025
IV International Conference on Ensuring Sustainable Development: Ecology, Earth Science, Energy and Agriculture (AEES2024)
|
|
|---|---|---|
| Article Number | 01030 | |
| Number of page(s) | 9 | |
| Section | Ecology, Biodiversity and Ways of its Conservation | |
| DOI | https://doi.org/10.1051/e3sconf/202562301030 | |
| Published online | 08 April 2025 | |
Optimal control in environmental systems and stability analysis
1 Tashkent Institute of Irrigation and Agricultural Mechanization Engineers National Research University, 39, Kari Niyazov ave., Tashkent, 100000, Uzbekistan
2 Chirchik State Pedagogical University, 104, str. Amir Temur, Tashkent, 100000, Uzbekistan
* Corresponding author: dilnoz134@rambler.ru
This paper aims at optimizing control in an environmental system with pollution dynamics, economic activity and climatic parameters. The optimal control is calculated using the Pontryagin’s Maximum Principle. The stability of the system is investigated by two methods: Lyapunov’s second method and eigenvalue analysis of the Jacobian matrix. The Lyapunov method can give a conclusion about the system’s asymptotic stability, while the eigenvalue analysis can give information about the stability in the neighbourhood of the equilibrium points. We present a numerical solution of the model and discuss the conditions for stability and the possibility of adjusting the system’s parameters to reach environmental equilibrium.
© The Authors, published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.