Using Lyapunov's direct method for wave suppression in reactive systems |
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Authors: | Yelena Smagina Moshe Sheintuch |
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Affiliation: | Department of Chemical Engineering, Technion, Haifa 32000, Israel |
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Abstract: | This paper proposes a new approach for stabilizing a homogeneous solution in reaction–convection–diffusion system with oscillatory kinetics, in which moving or stationary patterns emerge in the absence of control. Specifically, we aim to suppress patterns by using a spatially weighted finite-dimensional feedback control that assures stability of the solution according to Lyapunov's direct method. A practical design procedure, based on spectral representation of the system and dissipative nature of parabolic PDEs, is presented. |
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Keywords: | Nonlinear partial differential equations Distributed control Lyapunov's direct method Sector nonlinearity Wave suppress |
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