Robustness of polynomial stability with respect to unbounded perturbations
Tài liệu tham khảo
Shun-Hua, 1981, On spectrum distribution of completely controllable linear systems, SIAM J. Control Optim., 19, 730, 10.1137/0319048
Paunonen, 2011, Perturbation of strongly and polynomially stable Riesz-spectral operators, Systems Control Lett., 60, 234, 10.1016/j.sysconle.2011.01.005
Paunonen, 2012, Robustness of strong and polynomial stability of semigroups, J. Funct. Anal., 263, 2555, 10.1016/j.jfa.2012.08.023
Xu, 1996, On spectrum and Riesz basis assignment of infinite-dimensional linear systems by bounded linear feedbacks, SIAM J. Control Optim., 34, 521, 10.1137/S0363012993250712
Paunonen, 2012, Robust controller design for infinite-dimensional exosystems, Internat. J. Robust Nonlinear Control, 10.1002/rnc.2920
Caraman, 2003, Robust stability of compact C0-semigroups on Banach spaces, Studia Univ. “Babeş-Bolyai”, Mathematica, XLVIII, 35
Sklyar, 2001, Stability of a strongly stabilizing control for systems with a skew-adjoint operator in Hilbert space, J. Math. Anal. Appl., 254, 1, 10.1006/jmaa.2000.7132
Bátkai, 2006, Polynomial stability of operator semigroups, Math. Nachr., 279, 1425, 10.1002/mana.200410429
Batty, 2008, Non-uniform stability for bounded semi-groups on Banach spaces, J. Evol. Equ., 8, 765, 10.1007/s00028-008-0424-1
Borichev, 2010, Optimal polynomial decay of functions and operator semigroups, Math. Ann., 347, 455, 10.1007/s00208-009-0439-0
Haase, 2006
Latushkin, 2001, Hyperbolicity of semigroups and Fourier multipliers, vol. 129, 341
Gomilko, 1999, Conditions on the generator of a uniformly bounded C0-semigroup, Funct. Anal. Appl., 33, 294, 10.1007/BF02467113
Engel, 2000