k-值控制网络的可控性与可观性

doi:10.6040/j.issn.1671-9352.0.2014.162

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 27-35.doi: 10.6040/j.issn.1671-9352.0.2014.162

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Controllability and observability of k-valued control networks

DENG Lei, ZHAO Jian-li, LIU Hua, LI Ying

School of Mathmatics Science, Liaocheng University, Liaocheng 252000, Shandong, China

Received:2014-04-16 Revised:2014-11-07 Online:2015-04-20 Published:2015-04-17

Abstract

Abstract: By using the method of semi-tensor product of matrices, the controllability and observability of k-valued control networks were investigated. Controllability matrix was constructed by eigenfunction and a novel necessary and sufficient condition for controllability was given. The new conditions simplify computational complexity of original conditions,and the highest power of matrix is reduced from k^n+m to kⁿ. Aslo, a sufficient condition for observabilitywas obtained, which can be computed easily.

Key words: k-valued control network, eigenfunction, semi-tensor product of matrices, observability, controllability

CLC Number:

O233

DENG Lei, ZHAO Jian-li, LIU Hua, LI Ying. Controllability and observability of k-valued control networks[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 27-35.

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