Bounded finite-time stabilization of the prey - predator model via Korobov's controllability function

被引：4
作者：
Choque-Rivero, A. E. [1 ]
Ornelas-Tellez, F. [1 ]
机构：
[1] Univ Michoacana San Nicolas Hidalgo UMSNH, Morelia 58030, Michoacan, Mexico
来源：
IZVESTIYA OF SARATOV UNIVERSITY MATHEMATICS MECHANICS INFORMATICS | 2021年 / 21卷 / 01期
关键词：
finite-time stabilization; Korobov's controllability function; bounded control input; prey; predator model;
D O I：
10.18500/1816-9791-2021-21-1-76-87
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of finite-time stabilization for a Leslie-Gower prey - predator system through a bounded control input is solved. We use Korobov's controllability function. The trajectory of the resulting motion is ensured for fulfilling a physical restriction that prey and predator cannot achieve negative values. For this purpose, a certain ellipse depending on given data and the equilibrium point of the considered system is constructed. Simulation results show the effectiveness of the proposed control methodology.
引用
收藏
页码：76 / 87
页数：12
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