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- W4200630881 abstract "This chapter deals with the stability analysis of the reaction-diffusion subject to dynamic boundary conditions. More particularly, the objective is to propose a linear matrix inequality criterion which ensures the stability of such infinite-dimensional system. By the use of Fourier-Legendre series, the Lyapunov functional is split into an augmented finite-dimensional state including within it the first Fourier-Legendre coefficients and the residual part. A link between this modeling and Padé approximation is briefly highlighted. Then, from Bessel and Wirtinger inequalities applied to the Fourier-Legendre remainder and using its orthogonality properties, a sufficient condition of stability expressed in terms of linear matrix inequalities is obtained. This efficient and scalable stability condition is finally performed on examples." @default.
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- W4200630881 date "2022-01-01" @default.
- W4200630881 modified "2023-10-09" @default.
- W4200630881 title "Insight into the Stability Analysis of the Reaction-Diffusion Equation Interconnected with a Finite-Dimensional System Taking Support on Legendre Orthogonal Basis" @default.
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- W4200630881 doi "https://doi.org/10.1007/978-3-030-94766-8_5" @default.
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