| Autor: |
Fernández-Anaya, Guillermo, Martínez-Fuentes, Oscar, Muñoz-Vázquez, Aldo Jonathan, Sánchez-Torres, Juan Diego, Quezada-Téllez, Luis Alberto, Meléndez-Vázquez, Fidel |
| Zdroj: |
Nonlinear Dynamics; Aug2022, Vol. 109 Issue 3, p1705-1722, 18p |
| Abstrakt: |
Vector field decomposition is essential in physics and engineering in order to analyze several dynamical systems that appear in these areas. This paper proposes some novel stabilization methods, where the controller is based on the gradient of the smooth vector flow of a nonlinear fractional-order system. The gradient control is obtained from the Presnov decomposition of a continuously differentiable vector flow. Thus, under some weak conditions, it is possible to achieve Mittag–Leffler stability for some classes of autonomous and non-autonomous nonlinear systems by using some straightforward derivations. Numerical studies based on simulation are presented to show the feasibility of the proposed schemes. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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