Local exponential stabilization of Rogers-McCulloch and FitzHugh-Nagumo equations by the method of backstepping

DOI10.1051/cocv/2024030zbMath1541.35275MaRDI QIDQ6545367

Subrata Majumdar, Rajib Dutta, Shirshendu Chowdhury

Publication date: 29 May 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

boundary controlbacksteppingLyapunov functionalFitzHugh-Nagumo systemODE-PDE systemexponential stabilization by feedbackRogers-McCulloch system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Initial-boundary value problems for second-order parabolic systems (35K51) Exponential stability (93D23)

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