Controllability and Optimal Control of Higher-Order Incomplete Boolean Control Networks With Impulsive Effects | Zendy

Lei Deng | Zendy; Shihua Fu | Zendy; Ying Li | Zendy; Peiyong Zhu | Zendy; Hongyan Liu | Zendy

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Controllability and Optimal Control of Higher-Order Incomplete Boolean Control Networks With Impulsive Effects

Author(s) -

Lei Deng,

Shihua Fu,

Ying Li,

Peiyong Zhu,

Hongyan Liu

Publication year - 2018

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.2018.2876300

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

This paper investigates the controllability and optimal control of higher order incomplete Boolean control networks (BCNs) with impulsive effects by using the semi-tensor product of matrices. First, the incomplete logical system is expressed as an algebraic form, based on which several necessary and sufficient conditions for the controllability are presented. Then, the Mayer-type optimal control issue is studied and the optimal control design algorithms are established. At last, the study of illustrative examples shows the effectiveness of the obtained new results.

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