Constrained approximate controllability

IEEE Transactions on Automatic Control

Volumn 45, Issue 9, 2000, Pages 1745-1749

  Klamka, Jerzy ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONSTRAINT THEORY; DISCRETE TIME CONTROL SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS;

CONSTRAINED APPROXIMATE CONTROLLABILITY; NEUMANN BOUNDARY CONDITIONS;

CONTROLLABILITY;

EID: 0034262421     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.880640     Document Type: Article

References (20)

1. R. F. Brammer, "Controllability in linear autonomous systems with positive controller," SIAM J. Contr., vol. 10, no. 2, pp. 339-353, 1972.
2. O. Carja, "On constraint con rollability of linear systems in Banach spaces," J. Optimiz. Theory Appl., vol. 56, no. 2, pp. 215-225, 1988.
3. E. N. Chukwu, "Euclidean controllability of linear delay systems with limited controls," IEEE Trans. Automat. Contr., vol. AC-24, pp. 798-800, 1979.
4. _, "Function space null controllability of linear delay systems with limited power," J. Math. Anal. Appl., vol. 124, no. 2, pp. 392-304, 1987.
5. G. Glothin, "A modal control model for distributed systems with application to boundary controllability," Int. J. Contr., vol. 20, no. 3, pp. 417-432, 1974.
6. J. Klamka, Controllability of Dynamical Systems. New York: Kluwer, 1991.
7. _, "Constrained controllability of linear retarded dynamical systems," Applied Math. Comput. Sci., vol. 3, no. 4, pp. 647-672, 1993.
8. _, "Constrained controllability of delayed distributed parameter dynamical systems," Syst. Anal. Model. Simulation, vol. 24, no. I, pp. 15-23, 1996.
9. _," Constrained controllability of nonlinear systems," J. Math. Anal. Appl., vol. 201, no. 2, pp. 365-374, 1996.
10. _,"Constrained approximate boundary controllability," IEEE Trans. Automat. Contr., vol. 42, pp. 280-284, Feb. 1997.
11. T. Kobayashi, "Discrete-time controllability for distributed parameter systems," Int. J. Syst. Sci., vol. 11, no. 9, pp. 1063-1074.
12. G. Peichl and W. Schappacher, "Constrained controllability in Banach spaces," SIAM J. Contr. Optimiz., vol. 24, no. 6, pp. 1261-1275, 1986.
13. R. Rebarber and S. Townley, "Stabilization of distributed parameter systems by piecewise polynomial control," IEEE Trans. Automat. Contr., vol. 42, pp. 1254-1257, Sept. 1997.
14. D. Salamon, "Infinite dimensional linear systems with unbounded control and observation: A functional analytic approach," Trans. Amer. Math. Soc., vol. 300, no. 2, pp. 383-431, 1987.
15. S. H. Saperstone, "Global controllability of linear systems with positive controls," SIAM J. Contr., vol. 11, no. 3, pp. 417-423, 1973.
16. S. H. Saperstone and J. A. Yorke, " Controllability of linear oscillatory systems using positive controls," SIAM J. Contr., vol. 9, no. 2, pp. 253-262, 1971.
17. W. Schmitendorf and B. Barmish, "Null controllability of linear systems with constrained controls," SIAM J. Contr. Optimiz., vol. 18, no. 4, pp. 327-345, 1980.
18. _," Controlling a constrained linear system to an affine target," IEEE Trans. Automat. Contr., vol. AC-26, no. 3, pp. 761-763, 1981.
19. R. E. Showalter, "Monotone operators in banach space and nonlinear partial differential equations," in Mathematical Surveys and Monographs. Providence, RI: American Math. Soc., 1997, vol. 49.
20. N. K. Son, "A unified approach to constrained approximate controllability for the heat equations and the retarded equation," J. Math. Anal. Appl., vol. 150, no. 1, pp. 1-19, 1990.