Abstract
In this chapter, discrete-time impulsive systems with time-delay are presented and studied. The mechanism of impulsive control for discrete-time systems are introduced, and the concept of exponential stability for discrete-time impulsive time-delay systems is formulated. By using Lyapunov-Razumikhin technique and the method of Lyapunov functionals, several exponential stability results are constructed which can be applied to design appropriate impulsive controllers to stabilize unstable discrete-time delay systems, while some results are established that provide robustness analysis criteria for stable systems subject to impulsive perturbations.
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Liu, X., Zhang, K. (2019). Stability of Discrete-Time Impulsive Systems with Time-Delay. In: Impulsive Systems on Hybrid Time Domains. IFSR International Series in Systems Science and Systems Engineering, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-030-06212-5_2
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DOI: https://doi.org/10.1007/978-3-030-06212-5_2
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