Perturbation of strongly and polynomially stable Riesz-spectral operators

Hämäläinen, 2010, Robust regulation of distributed parameter systems with infinite-dimensional exosystems, SIAM J. Control Optim., 48, 4846, 10.1137/090757976 Paunonen, 2010, Internal model theory for distributed parameter systems, SIAM J. Control Optim., 48, 4753, 10.1137/090760957 Luo, 1999 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 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 Arendt, 1988, Tauberian theorems and stability of one-parameter semigroups, Trans. Amer. Math. Soc., 306, 837, 10.1090/S0002-9947-1988-0933321-3 Lyubich, 1988, Asymptotic stability of linear differential equations in Banach spaces, Studia Math., 88, 37, 10.4064/sm-88-1-37-42 Huang, 1993, Strong asymptotic stability of linear dynamical systems in Banach spaces, J. Differential Equations, 104, 307, 10.1006/jdeq.1993.1074 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 Caraman, 2003, Robust stability of compact C0-semigroups on Banach spaces, Studia Univ. Babeş-Bolyai Math., XLVIII, 35 Pazy, 1983 Shun-Hua, 1981, On spectrum distribution of completely controllable linear systems, SIAM J. Control Optim., 19, 730, 10.1137/0319048 Ho, 1986, Spectral assignability of systems with scalar control and application to a degenerate hyperbolic system, SIAM J. Control Optim., 24, 1212, 10.1137/0324073 Feingold, 1962, Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem, Pacific J. Math., 12, 1241, 10.2140/pjm.1962.12.1241 Curtain, 1995 Haase, 2006 Kato, 1966 Casarino, 2001, On the stability of asymptotic properties of perturbed C0-semigroups, Forum Math., 13, 91, 10.1515/FORM.2001.91 Horn, 1991 C. Wyss, Riesz bases for p-subordinate perturbations of normal operators, 2009. arXiv:e-prints. Immonen, 2007, Practical output regulation for bounded linear infinite-dimensional state space systems, Automatica J. IFAC, 43, 786, 10.1016/j.automatica.2006.11.009 Phông, 1991, The operator equation AX−XB=C with unbounded operators A and B and related abstract Cauchy problems, Math. Z., 208, 567, 10.1007/BF02571546 Naylor, 1982