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Received: 2004-02-02
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Differentiability of the Pritchard-Salamon systems with admissible state-feedback
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YU Xin. Differentiability of the Pritchard-Salamon systems with admissible state-feedback[J]. Journal of Zhejiang University Science A, 2005, 6(4): 311-314.
@article{title="Differentiability of the Pritchard-Salamon systems with admissible state-feedback",
author="YU Xin",
journal="Journal of Zhejiang University Science A",
volume="6",
number="4",
pages="311-314",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0311"
}
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0311
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T1 - Differentiability of the Pritchard-Salamon systems with admissible state-feedback
A1 - YU Xin
J0 - Journal of Zhejiang University Science A
VL - 6
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SP - 311
EP - 314
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0311
Abstract: Due to the fact that many papers on a wide range of control problems for pritchard-Salamon systems have appeared and many of its important mathematical and system theoretical properties have been revealed, this paper deals with the differentiability of the Pritchard-Salamon system with admissible state-feedback. Spectrum analysis showed that under definite condition, the unbounded perturbation semigroup of the Pritchard-Salamon system is eventually differentiable.
[1] Curtain, R.F., 1996. The Kalman-Yakubovich-Popov Lemma for Pritchard-Salamon systems. Systems & Control Letters, 27:67-72.
[2] Curtain, R.F., Zwart, H., 1994. The Nehari problem for the Pritchard-Salamon class of infinite-dimensional linear systems: A direct approach. Integr Equ Oper Theory, 18:130-153.
[3] Curtain, R.F., Zwart, H., 1995. An Introduction to Infinite-Dimensional Linear Systems Theory. Springer-Verlag, New York.
[4] Curtain, R.F., Weiss, M., Zhou Y., 1996. Closed formulae for a parametric-mixed-sensitivity problem for Pritchard-Salamon systems. Systems & Control Letters, 27:157-167.
[5] Curtain, R.F., Logemann, H., Townley, S., Zwart, H., 1997. Well-posedness, stabilizability and admissibility for Pritchard-Salamon systems. J Math Systems Estimation, Control, 7:439-476.
[6] Gu, X.H., 2004. Robustness with respect to Variable Small Delays for Exponential Stability of Infinite-dimensional Linear Systems and Unbounded Perturbation. PH.D Dissertation, Sichuan University, Chengdu (in Chinese).
[7] Guo, F.M., Zhang, Q., Huang, F.L., 2003. On well-posedness and admissible stabilizability for Pritchard-Salamon systems. Applied Math. Letters, 16:65-70.
[8] Pazy, A., 1968. On the differentiability and compactness of semigroups of linear operators. J Math Mech, 17:1131-1141.
[9] Pazy, A., 1983. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag.
[10] Pritchard, A.J., Salamon, D., 1985. The linear quadratic control problem for retarded systems with delays in control and observation. IMA J Math Control & Information, 2:335-362.
[11] Pritchard, A.J., Salamon, D., 1987. The linear quadratic control problem for infinite-dimensional systems with unbounded input and output operators. SIAM J Control Optim, 25:121-144.
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