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Yude Ji, Jiqing Qiu, Robust stability criterion for uncertain stochastic systems with time-varying delay via sliding mode control, Applied Mathematics and Computation, 238 (1)( 2014), 70¨C81
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Robust stability criterion for uncertain stochastic systems with time-varying delay via sliding mode control
×÷Õß:Ji, YD (Ji, Yude)[ 1,2 ] ; Qiu, JQ (Qiu, Jiqing)[ 2 ]
APPLIED MATHEMATICS AND COMPUTATION
¾í: 238  Ò³: 70-81
DOI: 10.1016/j.amc.2014.03.120
³ö°æÄê: JUL 1 2014
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This paper is focused on sliding mode control (SMC) for uncertain stochastic systems with time-varying delay. Both time-varying parameter uncertainties and stochastic perturbations may appear in the controlled system. A new integral-type switching surface function is first constructed. Then, a sufficient condition for the existence of sliding surface is established in terms of linear matrix inequalities (LMIs) by employing some free weighting matrices, which guarantees the robustly stochastically stable of the sliding mode dynamic system with time-varying delay for all admissible uncertainties. Moreover, a SMC law is synthesized to drive the system state trajectories onto the predefined switching surface in a finite time. Finally, a simulation example is provided to illustrate the effectiveness of the proposed theory. (c) 2014 Elsevier Inc. All rights reserved.
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×÷Õ߹ؼü´Ê:Stochastic systems; Time-varying delay; Sliding mode control (SMC); Linear matrix inequality (LMI)
KeyWords Plus:VARIABLE-STRUCTURE CONTROL; H-INFINITY CONTROL; MATRIX INEQUALITY APPROACH; DEPENDENT STABILITY; H(INFINITY) NORM; JUMP SYSTEMS; STABILIZATION; DESIGN; LMI
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ͨѶ×÷ÕßµØÖ·: Ji, YD (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China.
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ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
µç×ÓÓʼþµØÖ·:jiyude-1980@163.com; qiujiqing@263.net
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»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
National Natural Science Foundation of PR China        
10971045
Natural Science Foundation of Hebei Province        
A2013208147
F2014208042
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000336522400009
ISSN: 0096-3003
µç×Ó ISSN: 1873-5649
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: AI0FU
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 26
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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