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Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays

2006
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IEEE Transactions on Automatic Control
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values of P (i!1) are 11 = 0:6811 and 12 = 0:0628, and the singular values of P (i! 2 ) are 21 = 0:3063 and 22 = 0:0450. The bounds for the modal cost functions J k are given by Theorem 8 8:1 min K 2S J 1 (K 1 ) 15:0 11:4 min K 2S J 2 (K 2 ) 20:6: P (i! k ). If either the reference or disturbance signal is absent these bounds are tight. It is an open problem whether the gains K ka and K kb are optimal also in the multiple output case, nevertheless they are shown to be good choices. To the

doi:10.1109/tac.2006.883030
fatcat:lhbhxknfmjfydjwe443u6gekea