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References
Agmon, S., “Lectures on Elliptic Boundary Value Problems,” Princeton: Van Nostrand 1965.
Benchimol, C. D., A note on weak stabilizability of contraction semigroups. SIAM J. Control and Optimization 16, 373–379 (1978).
Feintuch, A., & M. Rosenfeld, On pole assignment for a class of infinite dimensional linear systems. SIAM J. Control and Optimization 16, 270–276 (1978).
Fujii, N., Private communication.
Gressang, R. V., & G. B. Lamont, Observers for systems characterized by semigroups. IEEE Trans. Automat. Contr. AC-20, 523–528 (1975).
Ito, S., Fundamental solutions of parabolic differential equations and boundary value problems. Japan J. Math. 27, 55–102 (1957).
Kato, T., “Perturbation Theory for Linear Operators,” New York: Springer-Verlag 1976.
Krein, S. G., “Linear Differential Equations in Banach Space,” Providence: American Mathematical Society 1971.
Lions, J. L., & E. Magenes, “Nonhomogeneous Boundary Value Problems and Applications, I,” New York: Springer-Verlag 1971.
Mizohata, S., “The Theory of Partial Differential Equations,” Cambridge, England: Cambridge Univ. Press 1973.
Nambu, T., Asymptotic behavior of solutions of a class of nonlinear differential equations in Banach space. SIAM J. Math. Anal. 9, 687–718 (1978).
Nambu, T., Remarks on approximate boundary controllability for distributed parameter systems of parabolic type: Supremum norm problem. J. Math. Anal. Appl. 69, 194–204 (1979).
Nambu, T., Feedback stabilization for distributed parameter systems of parabolic type. J. Differential Equations 33, 167–188 (1979).
Quinn, J. P., & D. L. Russell, Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping. Proc. Royal Soc. Edinburgh, Section A 77, 97–127 (1977).
Sakawa, Y., Observability and related problems for partial differential equations of parabolic type. SIAM J. Control 13, 14–27 (1975).
Sakawa, Y., & T. Matsushita, Feedback stabilization of a class of distributed systems and construction of a state estimator. IEEE Trans. Automat. Contr. AC-20, 748–753 (1975).
Sattinger, D. H., The mathematical problem of hydrodynamic stability. J. Math. Mech. 19, 797–817 (1970).
Slemrod, M., Stabilization of boundary control systems. J. Differential Equations 22, 402–415 (1976).
Triggiani, R., On the stabilizability problem in Banach space. J. Math. Anal. Appl. 52, 383–403 (1975).
Wonham, W. M., On pole assignment in multi-input controllable linear systems. IEEE Trans. Automat. Contr. AC-12, 660–665 (1967).
Levan, N., & L. Rigby, Strong stabilizability of linear contractive control systems on Hilbert space. SIAM J. Control and Optimization 17, 23–35 (1979).
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Communicated by J. Serrin
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Nambu, T. Feedback stabilization for distributed parameter systems of parabolic type, II. Arch. Rational Mech. Anal. 79, 241–259 (1982). https://doi.org/10.1007/BF00251905
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DOI: https://doi.org/10.1007/BF00251905