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带有随机脉冲的逻辑控制网络的安全控制。

Safe control of logical control networks with random impulses.

机构信息

School of Information Engineering, Nanchang University, Nanchang, Jiangxi, 330031, China.

School of Automation, Central South University, Changsha, Hunan, 410083, China.

出版信息

Neural Netw. 2023 Aug;165:884-895. doi: 10.1016/j.neunet.2023.06.035. Epub 2023 Jul 3.

Abstract

Under the framework of a hybrid-index model, this paper investigates safe control problems of state-dependent random impulsive logical control networks (RILCNs) on both finite and infinite horizons, respectively. By using the ξ-domain method and the constructed transition probability matrix, the necessary and sufficient conditions for the solvability of safe control problems have been established. Further, based on the technique of state-space partition, two algorithms are proposed to design feedback controllers such that RILCNs can achieve the goal of safe control. Finally, two examples are shared to demonstrate the main results.

摘要

本文在混合指标模型的框架下,分别研究了有限和无限时域上依赖状态的随机脉冲逻辑控制网络(RILCNs)的安全控制问题。通过利用ξ域方法和构造的转移概率矩阵,建立了安全控制问题可解的充要条件。进一步,基于状态空间分区技术,提出了两种设计反馈控制器的算法,以使 RILCNs 能够达到安全控制的目标。最后,通过两个实例来说明主要结果。

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