{"ID":2881867,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.11332","arxiv_id":"2508.11332","title":"Direct data-driven interpolation and approximation of linear parameter-varying system trajectories","abstract":"We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of solutions are given and a direct data-driven algorithm for its computation is presented, i.e., the data-generating system is not given by a parametric model but is implicitly specified by data. We illustrate the applicability of the proposed solution on illustrative examples of a mass-spring-damper system with exogenous and endogenous parameter variation.","short_abstract":"We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of solutions are given and a direct data-driven algorithm for its computation is pr...","url_abs":"https://arxiv.org/abs/2508.11332","url_pdf":"https://arxiv.org/pdf/2508.11332v2","authors":"[\"Chris Verhoek\",\"Ivan Markovsky\",\"Roland Tóth\"]","published":"2025-08-15T09:03:59Z","proceeding":"eess.SY","tasks":"[\"eess.SY\",\"eess.SP\",\"math.OC\"]","methods":"[]","has_code":false}