This article focuses on the finite‐time sampled‐data H∞ control problem of Markovian jumping linear system, which consists of mode‐dependent interval time‐varying delays. The delay‐dependent conditions of finite‐time sampled‐data control are obtained by adopting affine Bessel–Legendre inequality and appropriate mode‐dependent Lyapunov–Krasovskii functional. Finally, two examples are displayed to prove the feasibility of the proposed method.
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