Abstract
We consider in this paper the stabilization problem of a class of linear boundary control systems of parabolic type by means of feedback control.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35359-3_40
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References
R. F. Curtain, Finite dimensional compensators for parabolic distributed systems with unbounded control and observation, SIAM J. Control Op-tim., 22 (1984), 255 - 276.
D. Fujiwara, Concrete characterization of the domain of fractional powers of some elliptic differential operators of the second order, Proc. Japan Acad. Ser. A Math Sci. 43 (1967), 82 - 86.
J. S. Gibson and A. Adamian, Approximation theory for linear quadratic-Gaussian optimal control of flexible structures, SIAM J. Control Optim., 29 (1991), 1 - 37.
D. Gilbarg and N. S. Trudinger, “Elliptic Partial Differential Equations of Second Order,” 2nd ed., Springer-Verlag, New York, 1983.
P. Grisvard, Caractérisation de quelques espaces d’interpolation, Arch. Rational Mech. Anal. 25 (1967), 40 - 63.
S. Itô, “Diffusion Equations,” Amer. Math. Soc., Providence, 1992.
T. Nambu, On stabilization of partial differential equations of parabolic type: Boundary observation and feedback, Funkcial. Ekvac. 28 (1985), 267 - 298.
T. Nambu, Characterization of the domain of fractional powers of a class of elliptic differential operators with feedback boundary conditions, J. Differential Equations 136 (1997), 294 - 324.
Y. Sakawa, Feedback stabilization of linear diffusion systems, SIAM J. Control Optim., 21 (1983), 667 - 676.
W. M. Wonham, On pole assignment in multi-input controllable linear systems, IEEE Trans. Automat. Control, AC-12 (1967), 660 - 665.
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© 1999 IFIP International Federation for Information Processing
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Nambu, T. (1999). Stabilization of Linear Boundary Control Systems of Parabolic Type: An Algebraic Approach. In: Chen, S., Li, X., Yong, J., Zhou, X.Y. (eds) Control of Distributed Parameter and Stochastic Systems. IFIP Advances in Information and Communication Technology, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35359-3_15
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DOI: https://doi.org/10.1007/978-0-387-35359-3_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-4868-0
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