Output controllability of impulsive Boolean control networks based on hybrid-index model

IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Qianya Liang, Rongpei Zhou, Jie Chen, Yong Ding
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引用次数: 0

Abstract

In biological systems, impulses are often used to model mutations in gene expression. In order to describe the instantaneity of the impulse, this paper employs a hybrid-index model of impulsive Boolean networks with state-triggered impulses. Based on this model, the time-domain output controllability is investigated. Using the quotient mapping method, the hybrid-domain solutions of this model are mapped to the time-domain solutions, mathematically. Then a necessary and sufficient condition for output controllability in the time domain is presented. Finally, an example is given to demonstrate the correctness and effectiveness of the obtained results.

Abstract Image

基于混合指数模型的脉冲布尔控制网络的输出可控性
在生物系统中,脉冲常被用来模拟基因表达的突变。为了描述脉冲的瞬时性,本文采用了具有状态触发脉冲的脉冲布尔网络混合指数模型。基于该模型,研究了时域输出可控性。利用商映射法,该模型的混合域解被映射为数学上的时域解。然后提出了时域输出可控性的必要条件和充分条件。最后,举例说明了所获结果的正确性和有效性。
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来源期刊
IET Control Theory and Applications
IET Control Theory and Applications 工程技术-工程:电子与电气
CiteScore
5.70
自引率
7.70%
发文量
167
审稿时长
5.1 months
期刊介绍: IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.
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