Imperial College London > Talks@ee.imperial > Control and Power Seminars > Singularly perturbed hyperbolic systems

Singularly perturbed hyperbolic systems

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If you have a question about this talk, please contact Alessandro Astolfi.

Singularly perturbed PDEs, containing multiple time scales, often occur in physical systems due to the presence of small parameters or small time constants. The goal of this talk is to study the analysis of 1D hyperbolic systems in presence of singular perturbations. The decomposition of a singularly perturbed system into lower order subsystems, namely the reduced subsystem and the boundary-layer subsystem, provides a powerful tool for stability analysis and control design. The significant advantage of this technique is to reduce the system order by neglecting the fast transition and considering them in a separate fast time scale. Tikhonov theorem is a fundamental tool for analysis of singularly perturbed systems. It describes the limit behavior of solutions to the system when the perturbation parameter approaches zero. In this talk such approximation results will be given, and the stability will be analyzed by means of the stability of both subsystems. Finally some applications for the boundary control of conservation laws will be given.

This talk is part of the Control and Power Seminars series.

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