$$\mathcal {H}_{\infty }$$ Control of Time-Delayed Markov Jump Systems Subject to Mismatched Modes and Interval Conditional Probabilities

Qin, Xueli; Dong, Jingjing; Zhang, Xiaoqing; Jiang, Taiping; Zhou, Jianping

doi:10.1007/s13369-023-08332-4

Arab J Sci Eng

2023

DOI: 10.1007/s13369-023-08332-4

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$$\mathcal {H}_{\infty }$$ Control of Time-Delayed Markov Jump Systems Subject to Mismatched Modes and Interval Conditional Probabilities

Xueli Qin,

Jingjing Dong,

Xiaoqing Zhang

et al.

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2024

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Cited by 2 publications

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Guaranteed performance control for delayed Markov jump neural networks with output quantization and data-injection attacks

He,

Zhang,

Jiang

et al. 2024

Int. J. Mach. Learn. & Cyber.

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Guaranteed performance control for delayed Markov jump neural networks with output quantization and data-injection attacks

He,

Zhang,

Jiang

et al. 2024

Int. J. Mach. Learn. & Cyber.

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Non-fragile sampled-data control for synchronizing Markov jump Lur'e systems with time-variant delay

Zuo,

Wang,

Zhang

et al. 2024

era

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<p>The issue of non-fragile sampled-data control for synchronizing Markov jump Lur'e systems (MJLSs) with time-variant delay was investigated. The time-variant delay allowed for uncertainty that was constrained to an interval with defined upper and lower boundaries. The components of the nonlinear function within the MJLSs were considered to satisfy either Lipschitz continuity or non-decreasing monotonicity. Numerically tractable conditions that ensured stochastic synchronization with a predefined $ \mathcal{L}_{2}-\mathcal{L}_{\infty} $ disturbance attenuation level for the drive-response MJLSs were established, utilizing time-dependent two-sided loop Lyapunov-Krasovskii functionals, together with integral and matrix inequalities. An exact mathematical expression of the desired controller gains can be obtained based on these conditions. Finally, an example with numerical simulation was employed to demonstrate the effectiveness of the proposed control strategies.</p>

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$$\mathcal {H}_{\infty }$$ Control of Time-Delayed Markov Jump Systems Subject to Mismatched Modes and Interval Conditional Probabilities

Cited by 2 publications

References 42 publications

Guaranteed performance control for delayed Markov jump neural networks with output quantization and data-injection attacks

Guaranteed performance control for delayed Markov jump neural networks with output quantization and data-injection attacks

Non-fragile sampled-data control for synchronizing Markov jump Lur'e systems with time-variant delay

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