Regional Enlarged Controllability of Semilinear Systems with Constraints on the Gradient: Approaches and Simulations
| Autor: | Ali Boutoulout, F. Z. El Alaoui, Touria Karite |
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| Rok vydání: | 2019 |
| Předmět: |
Basis (linear algebra)
010102 general mathematics Energy Engineering and Power Technology State (functional analysis) 01 natural sciences Omega Domain (mathematical analysis) Computer Science Applications Controllability symbols.namesake Alpha (programming language) Control and Systems Engineering Lagrange multiplier 0103 physical sciences symbols Applied mathematics Nabla symbol 0101 mathematics Electrical and Electronic Engineering 010301 acoustics Mathematics |
| Zdroj: | Journal of Control, Automation and Electrical Systems. 30:441-452 |
| ISSN: | 2195-3899 2195-3880 |
| DOI: | 10.1007/s40313-019-00460-3 |
| Popis: | The aim of this paper is to study the constrained gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control u that steers the gradient state from an initial gradient one $$\nabla y_{_{0}}$$ to a gradient vector supposed to be unknown between two defined levels $$\alpha (\cdot )$$ and $$\beta (\cdot )$$ , only on a subregion $$\omega $$ of the system evolution domain $$\varOmega $$ . The obtained results have been proved via two approaches: The first one is based on sub-differential techniques, while the second one is based on Lagrangian multipliers. An algorithm is given on the basis of Uzawa algorithm, and numerical results are established. |
| Databáze: | OpenAIRE |
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