Extremal conitope norm methods for the control of switched systems

Jungers, Raphaël;Cicone, Antonio;Guglielmi, Nicola
(2012) SIAM LA 2012 — Location: Valencia, Spain (18.June.2012)

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Authors
  • Jungers, RaphaëlUCLouvain
    Author
  • Cicone, AntonioUniversity of L'Aquila
    Author
  • Guglielmi, NicolaUniversity of L'Aquila
    Author
Abstract
We describe new methods for computing the joint spectral radius and the joint spectral subradius of arbitrary sets of matrices. The methods build on two ideas previously appeared in the literature: the polytope norm iterative construction, and the lifting procedure. Moreover, the combination of these two ideas allows us to introduce a pruning algorithm which can importantly reduce the computational burden. We prove several appealing theoretical properties of our methods, and provide numerical examples of their good behaviour.
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Jungers, R., Cicone, A., & Guglielmi, N. (2012). Extremal conitope norm methods for the control of switched systems. Proceedings of the 2012 SIAM Conference on Applied Linear Algebra. Published. SIAM LA 2012, Valencia, Spain. https://hdl.handle.net/2078.5/252063