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ÌâÄ¿£ºFinite-Time Boundedness for a Class of Delayed Markovian Jumping Neural Networks with Partly Unknown Transition Probabilities

×÷ÕߣºLi Liang


http://www.hindawi.com/journals/aaa/2014/597298/


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shj2006: ½ð±Ò+10, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2014-03-29 15:56:19
ÒѾ­¼ìË÷ÁË, ¼ûÏÂÃæÏêϸ¼ìË÷±¨¸æ
Finite-Time Boundedness for a Class of Delayed Markovian Jumping Neural Networks with Partly Unknown Transition Probabilities  


×÷Õß:Liang, L (Liang, Li)




ABSTRACT AND APPLIED ANALYSIS


ÎÄÏ׺Å: 597298

DOI: 10.1155/2014/597298

³ö°æÄê: 2014

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This paper is concerned with the problem of finite-time boundedness for a class of delayed Markovian jumping neural networks with partly unknown transition probabilities. By introducing the appropriate stochastic Lyapunov-Krasovskii functional and the concept of stochastically finite-time stochastic boundedness for Markovian jumping neural networks, a new method is proposed to guarantee that the state trajectory remains in a bounded region of the state space over a prespecified finite-time interval. Finally, numerical examples are given to illustrate the effectiveness and reduced conservativeness of the proposed results.


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KeyWords Plus:EXPONENTIAL STABILITY ANALYSIS; UNCERTAIN NONLINEAR-SYSTEMS; H-INFINITY CONTROL; VARYING DELAYS; STATE ESTIMATION; STOCHASTIC-SYSTEMS; PASSIVITY ANALYSIS; DISCRETE; STABILIZATION; FEEDBACK


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ͨѶ×÷ÕßµØÖ·: Liang, L (ͨѶ×÷Õß)

Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Peoples R China.




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[ 1 ] Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Peoples R China




µç×ÓÓʼþµØÖ·:liangli7841@126.com


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Natural Science Foundation of Hainan province  
111002

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HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA


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Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied; Mathematics


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ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000332227700001

ISSN: 1085-3375

µç×Ó ISSN: 1687-0409



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Impact Factor (Ó°ÏìÒò×Ó):  Journal Citation Reports®


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IDS ºÅ: AC1AX

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 39

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