Construction of the Lyapunov functions for discrete random-parameter systems

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作者
Barabanov, IN
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TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For discrete random-parameter systems, a method for computer-aided construction of the Lyapunov functions is proposed. Properties of the systems have been studied for the case of Lyapunov functions in annular domains. A theorem about the systems' asymptotic stability in the presence of a sequence of Lyapunov functions in annular domains of the phase space has been proved. An algorithm for numerical construction of the Lyapunov function is presented and illustrated by an example.
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页码:1529 / 1537
页数:9
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