Attainability problems under stochastic perturbations

Differential Equations

Volumn 40, Issue 11, 2004, Pages 1573-1578

  Digailova, I A ^a   Kurzhanskii, A B ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15444368353     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10625-004-0007-z     Document Type: Article

References (22)

1. Varaiya, P. and Kurzhanskii, A.B., Dokl. RAN, 2000, vol. 372, no. 4, pp. 446-450.
2. Kurzhanski, A.B. and Varaiya, P., SIAM J. on Contr. & Optim., 2002, vol. 41, no. 1, pp. 181-216.
3. Lygeros, J., Tomlin, C., and Sastry, S., Automat., 1999, vol. 535, no. 3, pp. 349-370.
4. Lygeros, J. and Watkins, O., Proc. 42nd IEEE Conf. on Decision and Control. Maui. Hawaii, USA, December 2003, pp. 5314-5319.
5. Åström, K.J., Introduction to Stochastic Control Theory, New York: Academic, 1970. Translated under the title Vvedenie v stokhasticheskuyu teoriyu upravleniya, Moscow, 1973.
6. Åström, K.J., Introduction to Stochastic Control Theory, New York: Academic, 1970. Translated under the title Vvedenie v stokhasticheskuyu teoriyu upravleniya, Moscow, 1973.
7. Fleming, W.H. and Rishel, R.W., Deterministic and Stochastic Optimal Control, Berlin: Springer, 1975. Translated under the title Optimal'noe upravlenie determinirovannymi i stokhasticheskimi sistemami, Moscow: Mir, 1978.
8. Fleming, W.H. and Rishel, R.W., Deterministic and Stochastic Optimal Control, Berlin: Springer, 1975. Translated under the title Optimal'noe upravlenie determinirovannymi i stokhasticheskimi sistemami, Moscow: Mir, 1978.
9. Fleming, W.H. and Soner, H.M., Controlled Markov Processes and Viscosity Solutions, New York, 1993.
10. Liptser, R.Sh. and Shiryaev, A.N., Statistika sluchainykh protsessov (Statistics of Random Processes), Moscow: Nauka, 1974.
11. Kurzhanskii, A.B., Differents. Uravn., 1965, vol. 1, no. 2, pp. 204-213.
12. Levy, P., Processus stochastiques et mouvement brownien, Paris: Gauthier-Villars, 1965. Translated under the title Stokhasticheskie protsessy i brounovskoe dvizhenie, Moscow: Nauka, 1972.
13. Levy, P., Processus stochastiques et mouvement brownien, Paris: Gauthier-Villars, 1965. Translated under the title Stokhasticheskie protsessy i brounovskoe dvizhenie, Moscow: Nauka, 1972.
14. Bertsekas, D.P., Dynamic Programming, Athena Scientific, Belmont, Mass., 1995, vol. 1-2.
15. Krasovskii, N.N., Prikl. Mat. Mekh., 1960, vol. 24, no. 1, pp. 64-79.
16. Krasovskii, N.N., Sib. Mat. Zh., 1963, vol. 4, no. 3, pp. 622-631.
17. Kats, I.Ya. and Kurzhanskii, A.B., Avtomat. Telemekh., 1970, no. 12, pp. 15-25.
18. Kurzhanski, A.B. and Vályi, I., Ellipsoidal Calculus for Estimation and Control, Boston, 1997.
19. Aubin, J.-P. and Da Prato, G., Stoch. Anal. & App., 1998, no. 16, pp. 1-15.
20. Bensoussan, A., Da Prato, G., Delfour, M.C., and Mitter, S.K., Representation and Control of Infinite Dimensional Systems, Boston, 1992, vol. 1; 1993, vol. 2.
21. Dar'in, A.N. and Kurzhanskii, A.B., Differents. Uravn., 2001, vol. 37, no. 11, pp. 1477-1484.
22. Kurzhanski, A.B. and Varaiya, P., Optimiz. Meth. & Software, 2002, vol. 17, pp. 177-237.