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Finite‐parameter feedback stabilization of original Burgers' equations and Burgers' equation with nonlocal nonlinearities
We study the problem of global exponential stabilization of original Burgers' equations and the Burgers' equation with nonlocal nonlinearities by controllers depending on finitely many parameters. We investigate both equations by employing controllers based on finitely many Fourier modes and the latter equation by employing finitely many volume elements. To …