Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-03-05 DOI:10.1016/j.amc.2025.129394

Pei-Zhen Xia, Xiao-Heng Chang

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引用次数: 0

Abstract

In this article, the problem of observer-based security control for interval type-2 nonlinear networked systems with stochastic communication protocol (SCP) and denial-of-service (DoS) attacks is investigated. To begin with, considering the limited network bandwidth, a novel SCP is proposed to avoid data conflicts in information transmission. In particular, compared with the existing SCP, the SCP constructed in this article is scheduled by semi-Markov kernel, and the probability density function of its sojourn-time is assured by both the current mode and the next mode. Then, considering the influence of SCP and DoS attacks, the cooperative design conditions of observer-based security controller based on mode-dependent and fuzzy-dependent are given. Furthermore, a mode-dependent and sojourn-time-dependent Lyapunov function is adopted, and a sufficient condition for the mean square exponential stability of the closed-loop system is ensured. Finally, the feasibility of the method is verified by a mechanical motion model.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.