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Title: Controllability of semilinear stochastic integrodifferential systems (English)
Author: Balachandran, Krishnan
Author: Karthikeyan, S.
Author: Kim, J.-H.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 43
Issue: 1
Year: 2007
Pages: 31-44
Summary lang: English
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Category: math
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Summary: In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique. (English)
Keyword: controllability
Keyword: approximate controllability
Keyword: stochastic integrodifferential system
Keyword: Picard iteration
MSC: 60H10
MSC: 93B05
MSC: 93C23
MSC: 93E03
MSC: 93E20
idZBL: Zbl 1137.93010
idMR: MR2343329
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Date available: 2009-09-24T20:20:55Z
Last updated: 2013-09-21
Stable URL: http://hdl.handle.net/10338.dmlcz/135752
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Reference: [1] Balachandran K., Dauer J.: Controllability of nonlinear systems via fixed point theorems.J. Optim. Theory Appl. 53 (1987), 345–352 Zbl 0596.93010, MR 0891093, 10.1007/BF00938943
Reference: [2] Dauer J., Balachandran K.: Sample controllability of general nonlinear stochastic systems.Libertas Math. 17 (1997), 143–153 Zbl 0892.93010, MR 1485673
Reference: [3] Dobov M. A., Mordukhovich B. S.: Theory of controllability of linear stochastic systems.Differential Equations 14 (1978), 1609–1612
Reference: [4] Enrhardt M., Kliemann W.: Controllability of stochastic linear systems.Systems Control Lett. 2 (1982), 45–153
Reference: [5] Klamka J.: Schauder’s fixed point theorem in nonlinear controllability problems.Control Cybernet. 29 (2000), 153–165 Zbl 1011.93001, MR 1775163
Reference: [6] Klamka J., Socha L.: Some remarks about stochastic controllability.IEEE Trans. Automat. Control 22 (1977), 880–881 Zbl 0363.93048, MR 0456887, 10.1109/TAC.1977.1101615
Reference: [7] Lipster R. S., Shiryaev A. N.: Statistics of Random Processes.Springer, New York 1977
Reference: [8] Mahmudov N. I., Denker A.: On controllability of linear stochastic systems.Internat. J. Control 73 (2000), 144–151 Zbl 1031.93033, MR 1738365, 10.1080/002071700219849
Reference: [9] Mahmudov N. I.: Controllability of linear stochastic systems.IEEE Trans. Automat. Control 46 (2001), 724–731 Zbl 1031.93034, MR 1833025, 10.1109/9.920790
Reference: [10] Mahmudov N. I.: On controllability of semilinear stochastic systems in Hilbert spaces.IMA J. Math. Control Inform. 19 (2002), 363–376 Zbl 1138.93313, MR 1948289, 10.1093/imamci/19.4.363
Reference: [11] Mahmudov N. I.: Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces.SIAM J. Control Optim. 42 (2004), 1604–1622 Zbl 1084.93006, MR 2046377, 10.1137/S0363012901391688
Reference: [12] Mahmudov N. I., Zorlu S.: Controllability of nonlinear stochastic systems.Internat. J. Control 76 (2003), 95–104 Zbl 1111.93301, MR 1965846, 10.1080/0020717031000065648
Reference: [13] Mahmudov N. I., Zorlu S.: Controllability of semilinear stochastic systems.Internat. J. Control 78 (2005), 997–1004 Zbl 1097.93034, MR 2164204, 10.1080/00207170500207180
Reference: [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, 10.1109/TAC.1974.1100464
Reference: [15] Zabczyk J.: Controllability of stochastic linear systems.Systems Control Lett. 1 (1987), 25–31 MR 0667324, 10.1016/S0167-6911(81)80008-4
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