PINNING DETECTABILITY OF BOOLEAN CONTROL NETWORKS WITH INJECTION MODE

TIANTIAN MU; JUN-E FENG; BIAO WANG

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PINNING DETECTABILITY OF BOOLEAN CONTROL NETWORKS WITH INJECTION MODE

机译：PINNING DETECTABILITY OF BOOLEAN CONTROL NETWORKS WITH INJECTION MODE

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This technical note presents analytical investigations on detectabil-ity of Boolean network with pinning control and injection mode (BNPCIM).Detectability represents the property to uniquely determine the current state ofthe system according to known input-output sequences. Using Cheng productof matrices, BNPCIM can be converted into a special algebraic form of BCNswith mix-valued logical control. Based on different research requirements,three types of detectability for BNPCIM are proposed: weak detectability,detectability and strong detectability. Under free and networked input con-ditions, a sequence of matrices are constructed to reect output and stateinformation by explicit forms. Then by using the established matrices, severalnecessary and suffcient conditions for three types of detectability are derived.Moreover, to avoid unnecessary calculations, the maximum steps to achievedifferent detectability are gained. Finally, two illustrative examples are givento demonstrate the effectiveness of the obtained results.

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《Discrete and continuous dynamical systems, Series S》 |2022年第11期|3275-3296|共22页
作者
TIANTIAN MU; JUN-E FENG; BIAO WANG;
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作者单位

School of Mathematics, Shandong UniversityJinan 250100, Shandong, China;

School of Management, Shandong UniversityJinan 250100, Shandong, China;

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原文格式 PDF
正文语种英语
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Boolean control networks; Cheng product of matrices; detectability; injection mode; pinning control;

PINNING DETECTABILITY OF BOOLEAN CONTROL NETWORKS WITH INJECTION MODE

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