V. Komornik, Rapid boundary stabilization of linear distributed systems, SIAM J. Control Optim.,35(1997) pp. 1591-1613. Home/Search Document Details and Download
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....exactly controllable. For linear control systems, the exact controllability implies the asymptotic stabilizability by means of feedback laws. This is well known for linear control systems of finite dimension and, by M. Slemrod [63] J. L. Lions [52] I. Lasiecka R. Triggiani [48] and V. Komornik [46], it also holds in infinite dimension in very general cases. But, as pointed out by H.J. Sussmann in [69] by E.D. Sontag and H.J. Sussmann in [68] and by R.W. Brockett in [8] this is no longer true for nonlinear control systems, even of finite dimension. For example (see [8] the nonlinear ....
V. Komornik, Rapid boundary stabilization of linear distributed systems, SIAM J. Control Optim.,35(1997) pp. 1591-1613.
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