Stabilization of Periodic Switched k-Valued Logical Networks | Zendy

Yan Gao | Zendy; Chenchen Liu | Zendy; Jiaqi Wang | Zendy

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Stabilization of Periodic Switched k-Valued Logical Networks

Author(s) -

Yan Gao,

Chenchen Liu,

Jiaqi Wang

Publication year - 2021

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2021.3077387

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

The stabilization of periodic switched

$k$

-valued logical networks is investigated in this paper, and some new results are presented. The system considered consists of several

$k$

valued logical networks and these networks run in a periodic switching law. First, by using the Cheng product of matrices, a periodic switched

$k$

-valued logical (control) network is transformed into a discrete dynamic system which is written as an algebraic form. Second, the switching-state space and the switching-input-state space are defined. Then combining with the algebraic form, some necessary and sufficient conditions for the stability and the stabilization are obtained. An algorithm to find the input sequence that stabilizes the system is also provided. Finally, illustrative examples are given to support the proposed new results.

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