Stability Analysis of Data Driven Complex Systems

Farjadnia, Mahsa;Wang, Zheming;Jungers, Raphaël
(2019) 38th Benelux Meeting on Systems and Control — Location: Lommel, Belgium (19.March.2019)

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Authors
  • Farjadnia, MahsaUCLouvain
    Author
  • Wang, ZhemingUCLouvain
    Author
  • Jungers, RaphaëlUCLouvain
    Author
Abstract
In this work we develop a mathematic and algo­ rithmic framework for data-driven stability analysis of black box switching systems by using adaptive sampling and on­ line optimization. Our algorithm learns the optimal sam­ pling strategy to build more accurate stability guarantees with fewer sampling points. This work is an extension of [ l], where an algorithm is presented to bound the Joint Spec­ tral Radius (JSR) [2] of an unknown switched linear system within some probability from a finite number of trajectories.
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Farjadnia, M., Wang, Z., & Jungers, R. (2019). Stability Analysis of Data Driven Complex Systems. 38th Benelux Meeting on Systems and Control, Lommel, Belgium. https://hdl.handle.net/2078.5/252222