Feedback stabilization and observer design for sterile insect technique models.

IF 2.6 4区 工程技术 Q1 Mathematics
Kala Agbo Bidi
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引用次数: 0

Abstract

This paper focuses on the feedback global stabilization and observer construction for a sterile insect technique model. The sterile insect technique (SIT) is one of the most ecological methods for controlling insect pests responsible for worldwide crop destruction and disease transmission. In this work, we construct a feedback law that globally asymptotically stabilizes an SIT model at extinction equilibrium. Since the application of this type of control requires the measurement of different states of the target insect population, and, in practice, some states are more difficult or more expensive to measure than others, it is important to know how to construct a state estimator, which from a few well-chosen measured states, estimates the other ones, as the one we build in the second part of our work. In the last part of our work, we show that we can apply the feedback control with estimated states to stabilize the full system.

昆虫不育技术模型的反馈稳定和观测器设计
本文重点研究昆虫不育技术模型的反馈全局稳定和观测器构建。昆虫不育技术(SIT)是控制造成全球作物破坏和疾病传播的害虫的最生态方法之一。在这项研究中,我们构建了一种反馈定律,它能使昆虫不育技术模型在全局上渐近地稳定在灭绝平衡状态。由于应用这种控制方法需要测量目标昆虫种群的不同状态,而在实践中,有些状态比其他状态更难测量或测量成本更高,因此了解如何构建一种状态估计器非常重要,这种估计器可以从少数几个精心选择的测量状态中估计出其他状态,正如我们在工作的第二部分中所构建的那样。在工作的最后一部分,我们将展示如何利用估计状态的反馈控制来稳定整个系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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