Robust Stability and $$H_{\infty }$$H∞ Control of Discrete-Time Uncertain Impulsive Systems with Time-Varying Delay

This paper considers the robust stability and $$H_{\infty }$$H∞ control problems for a class of discrete-time uncertain impulsive systems with time-varying delay. Sufficient conditions for the robust stability, stabilization and $$H_\infty $$H∞ control of the considered systems are developed. Some numerical examples are presented to show the effectiveness of the theoretical results.

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