This paper researches the stochastic non-fragile guaranteed cost control for interval type-2 (IT2) fuzzy singular Markovian jump systems under hybrid-triggered scheme and random deception attacks. A hybrid-triggered scheme including a time trigger and an event trigger is adopted to relieve the strain on network transmission. Through constructing mode-dependent Lyapunov–Krasovskii (L–K) functional and applying singular value decomposition (SVD) technique, neoteric stochastic admissibility conditions for interval type-2 fuzzy singular Markovian jump systems are obtained. The coordinating design of hybrid trigger and stochastic non-fragile guaranteed cost controller is realized under the same framework of linear matrix inequalities (LMIs). Finally, the viability of the presented approach is confirmed by a mass–spring–damper (MSD) mechanical system and a numerical example.

中文翻译：

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混合触发方案和随机欺骗攻击下IT2模糊SMJS的随机非脆弱保证成本控制及其在MSD机械系统中的应用


研究了混合触发方案和随机欺骗攻击下区间2型(IT2)模糊奇异马尔可夫跳跃系统的随机非脆弱保证成本控制。采用时间触发和事件触发混合触发方案，缓解网络传输压力。通过构造模相关的Lyapunov-Krasovskii（L-K）泛函并应用奇异值分解（SVD）技术，获得了区间2型模糊奇异马尔可夫跳跃系统的近代随机容许条件。在相同的线性矩阵不等式（LMI）框架下实现了混合触发器和随机非脆弱保证成本控制器的协调设计。最后，质量-弹簧-阻尼器（MSD）机械系统和数值例子证实了所提出方法的可行性。