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Variable structure control for parabolic evolution equations | | Laura Levaggi
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3 Jun 2005 | | Subject: | Optimization and Control MSC-class: 93C20; 49J40 | math.OC | | Abstract: | In this paper it is considered a class of infinite-dimensional control systems in a variational setting. By using a Faedo-Galerkin method, a sequence of approximating finite dimensional controlled differential equations is defined. On each of these systems a variable structure control is applied to constrain the motion on a specified surface. Under some growth assumptions the convergence of these approximations to an ideal sliding state for the infinite-dimensional system is shown. Results are then applied to the Neumann boundary control of a parabolic evolution equation. | | Source: | arXiv, math.OC/0506060 | | Services: | Forum | Review | PDF | Favorites | |
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