Controllability of some nonlinear systems in Hilbert spaces

Journal of Optimization Theory and Applications

Volumn 123, Issue 2, 2004, Pages 319-329

  Dauer, J P ^a   Mahmudov, N I ^b  

^a UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

^b EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

Author keywords

controllability; fixed point theorems; Infinite dimensional systems; linear systems

Indexed keywords

FIXED POINT ARITHMETIC; FUNCTIONAL ANALYSIS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; TOPOLOGY;

APPROXIMATE CONTROLLABILITY; CONTROLLABILITY CONDITION; EVOLUTION SYSTEMS; EXACT CONTROLLABILITY; FIXED POINTS THEOREMS; INFINITE-DIMENSIONAL SYSTEM; LINEAR OPERATORS; LIPSCHITZ CONSTANT; SEMILINEAR EVOLUTION; SEMILINEAR SYSTEM;

CONTROLLABILITY;

EID: 8644236670     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10957-004-5151-3     Document Type: Article

References (12)

1. ZHOU, H., Approximate Controllability for a Class of Semilinear Abstract Equations, SIAM Journal on Control and Optimization, Vol. 21, pp. 551-555, 1983.
2. NAITO, K., Approximate Controllability for Trajectories of Semilinear Control Systems, Journal of Optimization Theory and Applications, Vol, 60, pp. 57-65, 1989.
3. Li, X., and YONG, J., Optimal Control Theory for Infinite-Dimensional Systems, Birkhauser, Basel, Switzerland, 1994.
4. BIAN, W M., Constrained Controllability of Some Nonlinear Systems, Applicable Analysis, Vol. 72, pp. 57-73, 1999.
5. CARMICHAEL, N., and QUINN, M.D., Fixed-Point Methods in Nonlinear Control, Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, Germany, Vol. 75, pp. 24-51, 1984.
6. ZHANG, X., Exact Controllability of Semilinear Evolution Systems and Its Application, Journal of Optimization Theory and Applications, Vol. 107, pp. 415-432, 2000.
7. SEIDMANN, T. I., Invariance of the Reachable Set under Nonlinear Pertubations, SIAM Journal on Control and Optimization, Vol. 25, pp. 1173-1191, 1985.
8. LASIECKA, I., and TRIGGIANI, R., Exact Controllability of Semilinear Abstract Systems with Applications to Waves and Plates Boundary Control Problems, Applied Mathematics and Optimization, Vol. 23, pp. 109-154, 1991.
9. BALACHANDRAN, K., and SAKTHIVEL, R., Controllability of Integrodifferential Systems in Banach Spaces, Applied Mathematics and Computation, Vol. 118, pp. 63-71, 2001.
10. MAHMUDOV, N. I., On Controllability of Linear Stochastic Systems, IEEE Transactions on Automatic Control, Vol. 46, pp. 724-732, 2001.
11. CURTAIN, R. F., and ZWART H. J., An Introduction to Infinite-Dimensional Linear Systems Theory, Springer Verlag, New York, NY, 1995.
12. SMART, D. R., Fixed-Point Theorems, Cambridge University Press, Cambridge, UK, 1974.