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Constructing the lyapunov function through solving positive dimensional polynomial system
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نویسنده
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ji z. ,wu w. ,feng y. ,zhang g.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We propose an approach for constructing lyapunov function in quadratic form of a differential system. first,positive polynomial system is obtained via the local property of the lyapunov function as well as its derivative. then,the positive polynomial system is converted into an equation system by adding some variables. finally,numerical technique is applied to solve the equation system. some experiments show the efficiency of our new algorithm. © 2013 zhenyi ji et al.
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آدرس
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laboratory of computer reasoning and trustworthy computation,school of computer science and engineering,university of electronic science and technology of china,chengdu 611731,china,laboratory of automated reasoning and cognition,chongqing institute of green and intelligent technology,chinese academy of science, China, laboratory of automated reasoning and cognition,chongqing institute of green and intelligent technology,chinese academy of science, China, laboratory of automated reasoning and cognition,chongqing institute of green and intelligent technology,chinese academy of science, China, l.a.s department of chengdu college,university of electronic science and technology of china, China
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Authors
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