Controllability of semilinear stochastic evolution equations with time delays

Publicationes Mathematicae Debrecen

Volumn 63, Issue 3, 2003, Pages 279-291

  Balasubramaniam, P ^a   Dauer, J P ^b  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

Controllability; Semi group; Stochastic evolution equation; Time delays; Wiener process

Indexed keywords

EID: 0346901891     PISSN: 00333883     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. N. U. AHMED, Stability of limit measures induced by stochastic differential equations on Hilbert space, Comput. Math. Appl. 22 (1991), 41-48.
2. G. ANICHINI, Global Controllability of nonlinear control process with prescribed controls, J. Optim. Theory Appl. 32 (1980), 183-199.
3. K. J. ASTROM, Introduction to Stochastic Control Theory, Academic Press, New York, 1970.
4. K. BALACHANDRAN, J. P. DAUER and P. BALASUBRAMANIAM, Controllability of nonlinear integrodifferential systems in Banach space, J. Optim. Theory Appl. 84 (1995), 83-91.
5. P. BALASUBRAMANIAM and J. P. DAUER, Controllability of semilinear stochastic evolution equations in Hilbert space, J. Appl. Math. Stoch. Anal. 14 (2001), 329-339.
6. R. BELLMAN, J. JACQUEZ and R. KALABA, Some Mathematical aspect of Chemotherapy, I: One-organ models, Bull. Math. Biophys. 22 (1960), 181-198.
7. J. P. DAUER, Controllability of nonlinear systems with restrained controls, J. Optim. Theory Appl. 14 (1974), 251-262.
8. J. P. DAUER and P. BALASUBRAMANIAM, Null Controllability of semilinear integrodifferential system in Banach space, Appl. Math. Lett. 10 (1997), 117-123.
9. J. P. DAUER, K. BALACHANDRAN and P. BALASUBRAMANIAM, Asymptotic null controllability of nonlinear perturbed systems, J. Optim. Theory Appl. 83 (1994), 167-179.
10. A. ICHICKAWA, Stability of semilinear stochastic evolution equations, J. Math. Anal. Appl. 90 (1982), 12-44..
11. J. C. JOUSIS and D. WEXLER, On exact controllability in Hilbert spaces, J. Diff. Eqns. 49 (1983), 258-269.
12. K. LIU, On stability for a class of semilinear stochastic evolution equations, Stochastic Process. Appl. 70 (1997), 219-241.
13. K. LIU, Caratheodory approximate solutions for a class of semilinear stochastic evolution equations with time delays, J. Math. Anal. Appl. 220 (1998), 349-364.
14. K. LIU, Lyapunov functionals and asymptotic stability of stochastic delay evolution equations, Stochastic and Stochastics Reports 63 (1998), 1-26.
15. A. PAZY, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
16. R. RABAH and J. KARRAKCHOU, Exact controllability and complete stabilizability for linear systems in Hilbert spaces, Appl. Math. Lett. 10 (1997), 35-40.
17. C. P. TSOKOS and W. J. PADGETT, Random Integral equations with Application to Life Sciences and Engineering, Academic Press, New York, 1974.
18. V. M. WONHAM, Random differential equations in control theory, Probabilistic Methods in Applied Mathematics, Vol. 2, Academic Press, New York, 1970.
19. J. ZABCZYK, Controllability of Stochastic Linear systems, Stochastic Differential Systems, Lecture Notes in control and Information Sciences, Vol. 43, Springer-Verlag, New York, 1982, 144-154.