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Modal occupation measures and LMI relaxations for nonlinear switched systems control

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Academic year: 2021

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Table 1: Lower bounds p ∗ d on the optimal value p ∗ obtained by solving LMI relaxations of increasing orders d; ¯n is the number of variables in the LMI problem; y j,0 is the approximate time spent on each mode j = 1, 2.
Table 2: Lower bounds p ∗ d on the optimal value p ∗ obtained by solving LMI relaxations of increasing orders d; ¯n is the number of variables in the LMI problem; y j,0 is the approximate time spent on each mode j = 1, 2.
Table 4: Lower bounds p ∗ d and number of variables ¯ n of the LMI problem in function of relaxation order d for the problem of § 6.4
Table 5: Lower bounds p ∗ d and number of variables ¯ n of the LMI problem in function of relaxation order d for the problem of § 6.5

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