带有卡普托微分的分数阶系统的避让策略

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-01 DOI:10.2478/ama-2023-0066

E. Pawłuszewicz

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引用次数: 0

摘要

摘要针对具有卡普托导数的分数阶动态系统，提出了一种控制策略，以保证两个代理的轨迹不发生碰撞。为了保证一个代理无论另一个代理的行动如何，都能使系统状态保持在给定集合之外，采用了一种基于 Lyapunov 的方法。作为一个特例，我们以线性系统为例进行了讨论，以说明对于具有卡普托导数的分数阶系统，给定的选择策略方法是有建设性的。所获得的结果将莱特曼和斯考龙斯基方法的规避问题扩展到分数阶情况。

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Avoidence Strategies for Fractional Order Systems with Caputo Derivative

Abstract A control strategy is derived for fractional-order dynamic systems with Caputo derivative to guarantee collision-free trajectories for two agents. To guarantee that one agent keeps the state of the system out of a given set regardless of the other agent’s actions a Lyapunov-based approach is adopted. As a special case showing that the given approach to choosing proposed strategy is constructive for a fractional-order system with the Caputo derivative, a linear system as an example is discussed. Obtained results extend to the fractional order case the avoidance problem Leitman’s and Skowronski’s approach.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.