Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
We consider the stability and stabilization of impulsive stochastic delay differential equations (ISDDEs). Using the Lyapunov-Razumikhin method, we obtain the sufficient conditions to guarantee the pth moment exponential stability of ISDDEs. Then the almost sure exponential stability is considered a...
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| Veröffentlicht in: | Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.741-756-046 |
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| container_end_page | 756-046 |
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| container_issue | 2012 |
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| container_title | Mathematical Problems in Engineering |
| container_volume | 2012 |
| creator | Wu, Kaining Ding, Xiaohua |
| description | We consider the stability and stabilization of impulsive stochastic delay differential equations (ISDDEs). Using the Lyapunov-Razumikhin method, we obtain the sufficient conditions to guarantee the pth moment exponential stability of ISDDEs. Then the almost sure exponential stability is considered and the sufficient conditions of the almost sure exponential stability are obtained. Moreover, the stabilization problem of ISDDEs is studied and the criterion on impulsive stabilization of ISDDEs is established. At last, examples are presented to illustrate the correctness of our results. |
| doi_str_mv | 10.1155/2012/176375 |
| format | Article |
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At last, examples are presented to illustrate the correctness of our results.</description><subject>Criteria</subject><subject>Delay</subject><subject>Differential equations</subject><subject>Engineering</subject><subject>Euclidean space</subject><subject>Mathematical analysis</subject><subject>Nonlinear systems</subject><subject>Random variables</subject><subject>Robots</subject><subject>Stability</subject><subject>Stabilization</subject><subject>Stochasticity</subject><subject>Studies</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0U1r3DAQBmATGkia9NR7MPRSEpyd0ad1LPmGhSy0hd7M2JaIFq-9a9ktm18fZR1ImktOo0GPXoZRknxFOEeUcsYA2Qy14lruJYcoFc8kCv0pnoGJDBn_c5B8DmEJwFBifpgsfg5U-sYP25TaOn3pHmnwXZt2Lr1brccm-L82XnXVA4XBV-mlbWibXnrnbG_bwVOTXm3G3ZtwnOw7aoL98lKPkt_XV78ubrP5_c3dxY95RkKxIXOl5RJqlwMvNShZWcUcVblgqiYQEkulkUplDAgwRqGgnEoha6zA8Br4UfJ9yl333Wa0YShWPlS2aai13RgKBI4cVS5MpN_e0WU39m2cLio0WnOj8qjOJlX1XQi9dcW69yvqtxEVz9stnrdbTNuN-nTSD76t6Z__AJ9M2EZiHb3BzAgjIlhMgHzvB_863yLGKETU8cN2kbgrGjhDAOD_N1pgoaUqQCj-BKqIl0I</recordid><startdate>20120101</startdate><enddate>20120101</enddate><creator>Wu, Kaining</creator><creator>Ding, Xiaohua</creator><general>Hindawi Limiteds</general><general>Hindawi Publishing Corporation</general><general>Hindawi Limited</general><scope>188</scope><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20120101</creationdate><title>Stability and Stabilization of Impulsive Stochastic Delay Differential Equations</title><author>Wu, Kaining ; 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| ispartof | Mathematical Problems in Engineering, 2012-01, Vol.2012 (2012), p.741-756-046 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley-Blackwell Open Access Titles; Alma/SFX Local Collection |
| subjects | Criteria Delay Differential equations Engineering Euclidean space Mathematical analysis Nonlinear systems Random variables Robots Stability Stabilization Stochasticity Studies |
| title | Stability and Stabilization of Impulsive Stochastic Delay Differential Equations |
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