Safe control of logical control networks with random impulses.

Journal: Neural networks : the official journal of the International Neural Network Society
PMID: 37433232

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 ΞΎ-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.

Authors

  • Rongpei Zhou
    School of Information Engineering, Nanchang University, Nanchang, Jiangxi, 330031, China. Electronic address: zhourp@ncu.edu.cn.
  • Yuqian Guo
    School of Automation, Central South University, Changsha, Hunan, 410083, China. Electronic address: gyuqian@csu.edu.cn.
  • Yuhao Wang
    School of Automation Science and Engineering, Xian Jiaotong University, Xi'an, Shaanxi, China.
  • Zejun Sun
    School of Information Engineering, Pingdingshan University, Pingdingshan, Henan, 467000, China. Electronic address: szj@pdsu.edu.cn.
  • Xinzhi Liu
    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1. Electronic address: xzliu@uwaterloo.ca.

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