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| HAL : hal-00676534, version 1 |
| Fiche détaillée |  Récupérer au format |
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| 2012 American Control Conference (ACC 2012), Montréal : Canada (2012) |
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| D1-Input-to-State Stability of a Time-Varying Nonhomogeneous Diffusive Equation Subject to Boundary Disturbances |
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Federico Bribiesca Argomedo 1Emmanuel Witrant 1 |
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| (06/2012) |
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| D1-Input-to-state stability (D1ISS) of a diffusive equation with Dirichlet boundary conditions is shown, in the L2-norm, with respect to boundary disturbances. In particular, the spatially distributed diffusion coefficients are allowed to be time-varying within a given set, without imposing any constraints on their rate of variation. Based on a strict Lyapunov function for the system with homogeneous boundary conditions, D1ISS inequalities are derived for the disturbed equation. A heuristic method used to numerically compute weighting functions is discussed. Numerical simulations are presented and discussed to illustrate the implementation of the theoretical results. |
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| 1 : | Grenoble Images Parole Signal Automatique (GIPSA-lab) |
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CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| SLR SYSCO |
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| Domaine | : | Sciences de l'ingénieur/Automatique / Robotique |
| hal-00676534, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00676534 | |
| oai:hal.archives-ouvertes.fr:hal-00676534 | |
| Contributeur : Federico Bribiesca Argomedo | |
| Soumis le : Lundi 5 Mars 2012, 15:40:58 | |
| Dernière modification le : Jeudi 19 Avril 2012, 12:26:50 | |
