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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 68 (1991), S. 75-93 
    ISSN: 1573-2878
    Keywords: Infinite-dimensional systems ; distributed control problem ; stabilizability ; controllability ; semigroups ; perturbations ; feedback control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The questions of stabilizability of structurally perturbed or uncertain linear systems in Hilbert space of the form $$\dot x = (A + P(r))x + Bu$$ are considered. The operatorA is assumed to be the infinitesimal generator of aC 0-semigroup of contractionsT(t),t≥0, in a Hilbert spaceX;B is a bounded linear operator from another Hilbert spaceU toX; and {P(r),r ∈ Ω} is a family of bounded or unbounded perturbations ofA inX, where Ω is an arbitrary set, not necessarily carrying any topology. Sufficient conditions are presented that guarantee controllability and stabilizability of the perturbed system, given that the unperturbed system $$\dot x = Ax + Bu$$ has similar properties. In particular, it is shown that, for certain classes of perturbations, weak and strong stabilizability properties are preserved for the same state feedback operator.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1045-4861
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine , Technology
    Notes: Hydroxyapatite induction by a synthesized pure silica hydrogel was examined in various simulated body fluids (SBFs) having different magnesium, calcium, and phosphate ion concentrations as well as pH values. The silica hydrogel generated biologically active apatite on its surface by taking up calcium and phosphorous ionic groups from a surrounding SBF that was prepared to emulate the human plasma in inorganic composition. The induction period for apatite nucleation on the surface of the silica was largely decreased with the addition of a small amount of the calcium or phosphate ions to the SBF and with an increase in pH, but increased with the addition of magnesium ion. Bioactivity of bioactive materials like Bioglass® and glass-ceramic A-W was well interpreted in terms of the rate of apatite formation reflected in these results. Moreover, the results provide the basic knowledge for designing new bioactive materials. © 1993 John Wiley & Sons, Inc.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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