Razumikhin-type stability theorems for discrete delay systems

@article{Liu2007RazumikhintypeST,
  title={Razumikhin-type stability theorems for discrete delay systems},
  author={Bing Liu and Horacio J. Marquez},
  journal={Automatica},
  year={2007},
  volume={43},
  pages={1219-1225}
}
In this paper, by employing the Razumikhin technique and Lyapunov functions, Razumikhin-type theorems that guarantee the uniform stability, uniformly asymptotic stability and uniformly exponential stability for the general discrete delay systems are established, respectively. Moreover, Razumikhin-type uniformly exponential stability theorem gives the estimation of the convergence speed. As theoretic application, the Razumikhin-type uniformly exponential stability result is further studied and… CONTINUE READING
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