Harmless Feedback Control for Permanence and Global Asymptotic Stability in Nonlinear Delay Population Equation

DOI10.1111/j.1467-9590.2008.00396.xzbMath1192.93042OpenAlexW2083179975MaRDI QIDQ3560177

Lin-Fei Nie, Ji-Gen Peng, Zhi-Dong Teng

Publication date: 19 May 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2008.00396.x

zbMATH Keywords

Lyapunov functionalsglobal asymptotic stabilityfeedback controlnonlinear population equation

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control problems involving ordinary differential equations (34H05)

Related Items (3)

Permanence in general non-autonomous single-species Kolmogorov systems with pure delays and feedback control ⋮ Permanence and stability in non-autonomous predator-prey Lotka-Volterra systems with feedback controls ⋮ Permanence in multi-species competitive systems with delays and feedback controls

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• Persistence in nonautonomous predator--prey systems with infinite delays
• Global attractivity in nonautonomous logistic equations with delay
• Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications
• On a delay-differential equation for single specie population variations

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