Stability of a strongly stabilizing control for systems with a skew-adjoint operator in Hilbert space

Journal of Mathematical Analysis and Applications

Volumn 254, Issue 1, 2001, Pages 1-11

  Sklyar, G M ^a   Rezounenko, A V ^b  

^a UNIVERSITY OF SZCZECIN   (Poland)

^b University of Kharkov   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035255674     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7132     Document Type: Article

References (11)

1. Ahmed N. U., Li P. Feedback stabilization for perturbed linear systems. Optimization. 21:1990;913-924.
2. Bounit H., Hammouri H. Bounded feedback stabilization and global separation principle of distributed parameter systems. IEEE Trans. Automat. Control. 42:1997;414-419.
3. Bradley M., Lasiecka I. A robustness result for a von Karman plate. Kybernetika. 29:1993;291-304.
4. Levan N., Rigby I. Strong stabilizability of linear contractive control systems on Banacj space. SIAM J. Control. 17:1979;23-35.
5. Korobov V. I., Sklyar G. M. Strong stabilizability of contractive systems in Hilbert spaces. Differentsial'nye Uravneniya. 20:1984;1862-1869.
6. Levan N. Stability enhancement by state feedback. Lasiecka I., Triggiani R. Control Problems for Systems Described by Partial Differential Equations and Applications. Lecture Notes in Control and Information Sciences. 1986;313-324 Springer-Verlag, Berlin/New York.
7. Li P., Ahmed N. U. On exponential stability of infinite dimensional systems with bounded or unbounded perturbations. Appl. Anal. 30:1988;175-187.
8. Rebiai S. E., Zinober A. S. Stabilization of uncertain distributed parameter systems. Internat. J. Control. 57:1993;1167-1175.
9. Gokhberg I. T., Krein M. G. Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space. 1985;Nauka, Moscow.
10. Sekelfal'vi-Nagy B. B., Foias S. The Harmonic Analysis of Operators in Hilbert Space. 1970;Mir, Moscow.
11. Kato T. Perturbation Theory for Linear Operators. 1972;Mir, Moscow.