The stability problem of impulsive discrete systems with multiple delays is studied. By means of the Lyapunov stability theory and discrete-time Halanay-type inequality technique, we develop sufficient conditions for the exponential stability for the impulsive discrete systems with multiple delays, which involves multiple delays not only at non-impulsive time instants but also at impulsive time instants. The results are extended to two special discrete systems: the delayed discrete systems with time delays at only impulsive time instants and the delayed discrete systems with time delays at only non-impulsive time instants. Finally, the validity of the obtained results is shown by a numerical exampl
In this paper, we discuss the problem by utilizing impulsive control and Lyapunov function methods, which is about the state of disturbed systems with time-delay tracking the state of reference systems. Sufficient conditions for the solvability of the tracking control problem are given for the measurable state and the non-measurable state of system respectively. This impulsive control law based on measured output instead of the state information is considered. Finally, a numerical example is presented to illustrate the validity of our results
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