NDLI: Stabilization of Boolean Control Networks Under Aperiodic Sampled-Data Control

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Cao, Jinde Sun, Liangjie Lu, Jianquan Liu, Yang Ho, Daniel W. C.
Copyright Year	2018
Abstract	A novel technique is provided for the global stability analysis of Boolean control networks (BCNs) under aperiodic sampled-data control (ASDC). The sampling period is allowed to be taken from a limited number of values. Using the semitensor product of matrices, a BCN under ASDC can be converted into a switched Boolean network (BN). Here, the switched BN can only switch at sampling instants, which does not mean that the switches occur at each sampling instant. For the switched BN, we consider two cases: (i) switched BN with all stable subsystems; (ii) switched BN containing both stable subsystems and unstable subsystems. For these two cases, the techniques of switching-based Lyapunov function and the average dwell time method are used to derive sufficient conditions for global stability of BCNs under ASDC, respectively. The upper bounds of the cost function, which is defined to guarantee that the considered BCN is not only globally stabilized but also can assurance the performance at an appropriate level, are determined, respectively. Moreover, an algorithm is presented to construct the ASDCs. Finally, the obtained results are demonstrated by several examples.
Sponsorship	Research Grants Council, University Grants Committee. National Natural Science Foundation of China. Jiangsu Provincial Key Laboratory of Networked Collective Intelligence. Natural Science Foundation of Jiangsu Province. Six Talent Peaks Project in Jiangsu Province
Starting Page	4385
Ending Page	4404
Page Count	20
File Format	PDF
ISSN	03630129
DOI	10.1137/18M1169308
e-ISSN	10957138
Issue Number	6
Volume Number	56
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2018-12-11
Access Restriction	Subscribed
Subject Keyword	semitensor product of matrices average dwell time Boolean functions Controllability aperiodic sampled-data control Boolean control network
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Applied Mathematics

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