Design of attack resistant robust fuzzy control of chaotic semi-Markov jump stochastic systems with multiple cyber attacks.

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Title: Design of attack resistant robust fuzzy control of chaotic semi-Markov jump stochastic systems with multiple cyber attacks.
Authors: Abinandhitha, R.1 (AUTHOR), Satheesh, T.2,3 (AUTHOR), Sakthivel, R.1 (AUTHOR) krsakthivel@buc.edu.in, Ren, Y.4 (AUTHOR) brightry@hotmail.com
Source: International Journal of General Systems. Jul2026, Vol. 55 Issue 5, p587-612. 26p.
Subjects: Robust control, Stochastic systems, Lyapunov stability, Fuzzy control systems, Chaos theory, Cyberterrorism
Abstract: This paper investigates the input-output finite-time stabilization issue for uncertain chaotic stochastic systems characterized by Takagi-Sugeno fuzzy models and semi-Markovian jumps. Moreover, the parameter uncertainties and multiple cyber attacks have been accounted in the system model and control input, respectively. In particular, the multiple attacks encompass both denial-of-service and deception attacks, which are supposed to satisfy certain Bernoulli distributed white noise sequences. Primarily, the aim of this article lies in designing an attack resistant robust control for guaranteeing the input-output finite-time stochastic stability of the considered system. Furthermore, with the aid of Lyapunov stability theory, sufficient criteria are established in the framework of linear matrix inequalities to guarantee that assayed systems are input-output finite-time stochastically stable. Additionally, the desired framework of an attack resistant robust controller can be formulated. Ultimately, the put forward theoretical insights are placed on Chua's circuit systems to showcase their prominence. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:This paper investigates the input-output finite-time stabilization issue for uncertain chaotic stochastic systems characterized by Takagi-Sugeno fuzzy models and semi-Markovian jumps. Moreover, the parameter uncertainties and multiple cyber attacks have been accounted in the system model and control input, respectively. In particular, the multiple attacks encompass both denial-of-service and deception attacks, which are supposed to satisfy certain Bernoulli distributed white noise sequences. Primarily, the aim of this article lies in designing an attack resistant robust control for guaranteeing the input-output finite-time stochastic stability of the considered system. Furthermore, with the aid of Lyapunov stability theory, sufficient criteria are established in the framework of linear matrix inequalities to guarantee that assayed systems are input-output finite-time stochastically stable. Additionally, the desired framework of an attack resistant robust controller can be formulated. Ultimately, the put forward theoretical insights are placed on Chua's circuit systems to showcase their prominence. [ABSTRACT FROM AUTHOR]
ISSN:03081079
DOI:10.1080/03081079.2025.2490949