Asynchronous control of continuous‐time switched systems with all unstable modes under DoS attacks Article Swipe

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Guoxuan Huang , Yingxue Du , Ancai Zhang , Yang Liu , Zhi Liu ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1002/rnc.7576

In this article, the asynchronous control problem of switched linear systems with all unstable modes under denial‐of‐service (DoS) attacks is studied. First, the upper bound of the sampling period, which can be easily calculated based on the scenario where all modes are unstable, is obtained under a periodic sampling control strategy. Second, by constructing an appropriate discrete multiple linear quadratic Lyapunov function, an asynchronous control scheme in the form of linear matrix inequalities is devised. To ensure the stability of switched systems under DoS attacks, a sufficient condition for the total duration and frequency of DoS attacks is established. It is shown that the switched system can tolerate DoS attacks up to a certain limit while maintaining exponential stability, and this result is applicable even when all subsystems are unstable. Finally, numerical examples and a comparative study are presented to demonstrate the effectiveness of the proposed method.

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Control theory (sociology) Asynchronous communication Denial-of-service attack Limit (mathematics) Lyapunov function Stability (learning theory) Upper and lower bounds Exponential stability Computer science Mathematics Linear matrix inequality Linear system Quadratic equation Control (management) Mathematical optimization Nonlinear system Telecommunications Geometry Machine learning The Internet World Wide Web Artificial intelligence Quantum mechanics Physics Mathematical analysis

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Type: article
Language: en
Landing Page: https://doi.org/10.1002/rnc.7576
PDF: https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/rnc.7576
OA Status: bronze
Cited By: 2
References: 39
Related Works: 10
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DOI: https://doi.org/10.1002/rnc.7576

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Title: Asynchronous control of continuous‐time switched systems with all unstable modes under DoS attacks

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Language: en

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Publication year: 2024

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Publication date: 2024-08-02

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Authors: Guoxuan Huang, Yingxue Du, Ancai Zhang, Yang Liu, Zhi Liu

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Landing page: https://doi.org/10.1002/rnc.7576

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Concepts: Control theory (sociology), Asynchronous communication, Denial-of-service attack, Limit (mathematics), Lyapunov function, Stability (learning theory), Upper and lower bounds, Exponential stability, Computer science, Mathematics, Linear matrix inequality, Linear system, Quadratic equation, Control (management), Mathematical optimization, Nonlinear system, Telecommunications, Geometry, Machine learning, The Internet, World Wide Web, Artificial intelligence, Quantum mechanics, Physics, Mathematical analysis

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Cited by: 2

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