1. consensus of stochastic multi-agent systems with time-delay and Markov jump.
- Author
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Kang, Lifan, Ji, Zhijian, Liu, Yungang, and Lin, Chong
- Subjects
- *
MULTIAGENT systems , *MARKOVIAN jump linear systems , *STOCHASTIC systems , *LINEAR matrix inequalities , *TIME delay systems , *CLOSED loop systems - Abstract
In this paper, the $ H_{\infty } $ H ∞ consensus problem of stochastic nonlinear multi-agent systems with time-delay, Markov jump and $ (x, u, v) $ (x , u , v) -dependent noises is studied. Firstly, the $ H_{\infty } $ H ∞ consensus problem is transformed into a standard $ H_{\infty } $ H ∞ control problem by model transformation. Then, a dynamic output feedback control protocol is constructed by solving a set of linear matrix inequalities to ensure that the closed-loop system achieves the mean square consensus and meets the specified $ H_{\infty } $ H ∞ performance level. After that, both delay-independent and delay-dependent stochastic bounded real lemmas are established by taking advantage of the Lyapunov–Krasovskii function method and the generalised It $ \hat {\rm {o}} $ o ^ formula. Finally, we illustrate the validity of the developed method with numerical simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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