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Global analysis of a continuous-time flow which computes time-optimal switchings

Frédéric Grognard 1 Rodolphe Sepulchre 2, 1 
1 CESAME - Centre for systems engineering and applied mechanics [Louvain]
2 Institut Montefiore - Department of Electrical Engineering and Computer Science
Abstract : The minimum-time bounded control of linear systems is generically bang-bang and the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. This paper proposes a synthesis method for such problems based on dynamical systems that 'compute' the optimal sequence of switching times
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https://hal.inria.fr/hal-01091651
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Submitted on : Friday, December 5, 2014 - 5:13:44 PM
Last modification on : Friday, October 1, 2021 - 9:54:07 AM
Long-term archiving on: : Monday, March 9, 2015 - 6:05:36 AM

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Frédéric Grognard, Rodolphe Sepulchre. Global analysis of a continuous-time flow which computes time-optimal switchings. 40th IEEE Conference on Decision and Control, Dec 2001, Orlando, United States. pp.3826-3831, ⟨10.1109/.2001.980460⟩. ⟨hal-01091651⟩

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