Controlling chaos in space-clamped FitzHugh-Nagumo neuron by adaptive passive method

DOI10.1016/j.nonrwa.2009.03.029zbMath1188.93045OpenAlexW2059059897MaRDI QIDQ974591

Du Qu Wei, Ying Hua Qin, Bo Zhang, Xiao Shu Luo

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.03.029

zbMATH Keywords

adaptive controlchaos controlpassive controlFitzHugh-Nagumo neuron

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Adaptive control/observation systems (93C40) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (8)

Adaptive control of fractional-order unified chaotic systems using a passivity-based control approach ⋮ Analysis of limit cycle behavior in DC-DC boost converters ⋮ Robust synchronization of delayed chaotic FitzHugh-Nagumo neurons under external electrical stimulation ⋮ LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation ⋮ Passive control of n-dimensional chaotic complex nonlinear systems ⋮ Projective synchronization for coupled partially linear complex-variable systems with known parameters ⋮ Synchronization of chaotic systems with unknown parameters using adaptive passivity-based control ⋮ Stabilization and tracking control for a class of nonlinear systems

Cites Work

• Exotic dynamic behavior of the forced FitzHugh-Nagumo equations
• Global robust stabilization of minimum-phase nonlinear systems with uncertainty
• Control of chaotic solutions of the Hindmarsh-Rose equations
• Robust adaptive tracking control for a class of uncertain chaotic systems
• Chaos and bifurcation in the space-clamped FitzHugh--Nagumo system
• Chaos control and synchronization of two neurons exposed to ELF external electric field
• Dissipative dynamical systems. I: General theory
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems

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