About DML-CZ | FAQ | News | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Balachandran, Krishnan ; Karthikeyan, S. ; Kim, J.-H.
Controllability of semilinear stochastic integrodifferential systems. (English). Kybernetika, vol. 43 (2007), issue 1, pp. 31-44
MSC: 60H10, 93B05, 93C23, 93E03, 93E20 | MR 2343329 | Zbl 1137.93010
Keywords:
controllability; approximate controllability; stochastic integrodifferential system; Picard iteration
Summary:

References:
[1] Balachandran K., Dauer J.: Controllability of nonlinear systems via fixed point theorems. J. Optim. Theory Appl. 53 (1987), 345–352 MR 0891093 | Zbl 0596.93010
[2] Dauer J., Balachandran K.: Sample controllability of general nonlinear stochastic systems. Libertas Math. 17 (1997), 143–153 MR 1485673 | Zbl 0892.93010
[3] Dobov M. A., Mordukhovich B. S.: Theory of controllability of linear stochastic systems. Differential Equations 14 (1978), 1609–1612
[4] Enrhardt M., Kliemann W.: Controllability of stochastic linear systems. Systems Control Lett. 2 (1982), 45–153
[5] Klamka J.: Schauder’s fixed point theorem in nonlinear controllability problems. Control Cybernet. 29 (2000), 153–165 MR 1775163 | Zbl 1011.93001
[6] Klamka J., Socha L.: Some remarks about stochastic controllability. IEEE Trans. Automat. Control 22 (1977), 880–881 MR 0456887 | Zbl 0363.93048
[7] Lipster R. S., Shiryaev A. N.: Statistics of Random Processes. Springer, New York 1977
[8] Mahmudov N. I., Denker A.: On controllability of linear stochastic systems. Internat. J. Control 73 (2000), 144–151 MR 1738365 | Zbl 1031.93033
[9] Mahmudov N. I.: Controllability of linear stochastic systems. IEEE Trans. Automat. Control 46 (2001), 724–731 MR 1833025 | Zbl 1031.93034
[10] Mahmudov N. I.: On controllability of semilinear stochastic systems in Hilbert spaces. IMA J. Math. Control Inform. 19 (2002), 363–376 MR 1948289 | Zbl 1138.93313
[11] Mahmudov N. I.: Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM J. Control Optim. 42 (2004), 1604–1622 MR 2046377 | Zbl 1084.93006
[12] Mahmudov N. I., Zorlu S.: Controllability of nonlinear stochastic systems. Internat. J. Control 76 (2003), 95–104 MR 1965846 | Zbl 1111.93301
[13] Mahmudov N. I., Zorlu S.: Controllability of semilinear stochastic systems. Internat. J. Control 78 (2005), 997–1004 MR 2164204 | Zbl 1097.93034
[14] Sunahara Y., Kabeuchi T., Asada, S., Kishino K.: On stochastic controllability for nonlinear systems. IEEE Trans. Automat. Control 19 (1974), 49–54 MR 0359965
[15] Zabczyk J.: Controllability of stochastic linear systems. Systems Control Lett. 1 (1987), 25–31 MR 0667324
Partner of
EuDML logo