Adaptive-Graph Semi-Supervised Dynamical System Identification

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Abstract

In this paper, we present a novel adaptive-graph semi-supervised dynamical system identification (AG-SSI) for the challenging nonlinear dynamical system identification. AG-SSI constructs the regressors in the Reproducing Kernel Hilbert Spaces (RKHS) leveraging on both input-output data and input-only data. Then, a manifold regularization with adaptive graph structure is introduced for semi-supervised learning. AG-SSI can jointly learn the optimal affinity graph and identify the unknown dynamical system. An efficient iteration method is proposed to solve this challenging problem, which promotes graph matrix learning and system identification in a mutual reinforcement mode. Experiments are conducted on three nonlinear dynamical systems and the results demonstrate the superiority of the proposed method compared with the existing semi-supervised system identification algorithms.

Original languageEnglish
Title of host publication2023 42nd Chinese Control Conference, CCC 2023
PublisherIEEE Computer Society
Pages1345-1350
Number of pages6
ISBN (Electronic)9789887581543
DOIs
StatePublished - 2023
Event42nd Chinese Control Conference, CCC 2023 - Tianjin, China
Duration: 24 Jul 202326 Jul 2023

Publication series

NameChinese Control Conference, CCC
Volume2023-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference42nd Chinese Control Conference, CCC 2023
Country/TerritoryChina
CityTianjin
Period24/07/2326/07/23

Keywords

  • adaptive graph structure
  • nonlinear dynamical system identification
  • semi-supervised learning

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