Constrained controllability of some nonlinear systems

Applicable Analysis

Volumn 72, Issue 1-2, 1999, Pages 57-73

  Bian, W M ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Approximate controllability; Constraint; Exact controllability; Local controllability; Nonlinear system

Indexed keywords

EID: 0011532392     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819908840730     Document Type: Article

References (14)

1. Achhab, M. E., Callier, F. M., and Wertz, V., 1994. Admissible controls and at tainable states for a class of nonlinear systems with general constraints. Intern. J. Robust Nonl. control, 4: 267–288.
2. Aubin, J. P., and Prankowska, H., 1990. Set-valued Analysis, Berlin: Birkhäuser.
3. Balachandran, K., Dauer, I. P., and Balasubrmaniam, P., 1995. Controllabil ity of nonlinear integrodifferential systems in Banach space. J. Optim. Theory Appl, 84: 83–91.
4. Bian, W. M., 1999. Controllability of nonlinear evolution systems with preas-signed responses. J. Optim, Theory Appl., 100 (2) in press
5. Brammer, R., 1972. Controllability of linear autonomous systems with positive controls. SIAM J. Control, 10: 339–353.
6. Chukwu, E. N., and Lenhart, S. M., 1991. Controllability questions for non linear systems in abstract space. J. Optim. Theory Appl, 68: 437–462.
7. Deimling, K., 1992. Multivalued Differential Equations, Walter de Gruyter.
8. Klamka, J., 1995. Constrained controllability of nonlinear systems. IMA J. Math. Control Inform, 12: 245–252.
9. Ladas, G. E., and Lakshmikantham, V., 1972. Differential Equations in Abstract Spaces, New York: New York.
10. Papageorggiou, N. S., 1994. Controllability of infinite dimensional systems with control constraints. J. Math. Anal. Appl, 186: 523–533.
11. Papageorggiou, N. S., 1995. Mild solutions of semilinear evolution inclusions and optimal control. Indian J. pure appl. Math, 26: 523–533.
12. Saperstone, W., and Barmish, B., 1973. Global controllability of linear systems with positive controls. SIAM J. Control, 11: 417–423.
13. Sä, N. K., 1990. A unified approach to constrained approximate controllability for the heat equations and the retarded equations. J. Math. Anal. Appl, 150: 1–9.
14. Yamamoto, M., and Park, J. Y., 1990. Controllability for parabolic equations with uniformly bounded nonlinear terms. J. Optim. Theory Appl, 66: 515–532.