Analysis of the stability of the two-dimensional Lotka-Volterra mutual system

https://doi.org/10.58571/CNCA.AMCA.2024.022

Resumen: In this article, a robust positive control is proposed to estabilize a family of nonlinear positive systems. Sufficient conditions are provided for stabilization by sliding modes, which entails the robustness of the feedback system. The construction of a stabilizing line with sliding dynamics is detailed. The feasibility of the stabilization method is illustrated by studying a twodimensional Lotka-Volterra mutualistic system where the sliding conditions, the construction of the segment of the stabilizing line and the robustness of the bounded positive control are shown.

¿Cómo citar?

Orozco Ruiz, P.D., Leyva Castellanos, H. & Aguirre Hernández, B. (2024). Analysis of the stability of the two-dimensional Lotka-Volterra mutual system. Memorias del Congreso Nacional de Control Automático 2024, pp. 126-131. https://doi.org/10.58571/CNCA.AMCA.2024.022

Palabras clave

system stabilization, positive systems, sliding mode, mutualistic system

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