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E. Fridman and U. Shaked, “An Improved Stabilization Method for Linear Systems with Time-Delay,” IEEE Transactions on Automation Control, Vol. 47, 2002, pp. 1931-1937. doi:10.1109/TAC.2002.804462

has been cited by the following article:

• TITLE: Stabilization of Unknown Nonlinear Discrete-Time Delay Systems Based on Neural Network

  AUTHORS: Vinay Kumar Deolia, Shubhi Purwar, Tripti Nath Sharma

  KEYWORDS: Discrete-Time Delay Nonlinear Systems; Lyapunov Stability; Linear Matrix Inequality (LMI)

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.4, November 28, 2012

  ABSTRACT: This paper discusses about the stabilization of unknown nonlinear discrete-time fixed state delay systems. The unknown system nonlinearity is approximated by Chebyshev neural network (CNN), and weight update law is presented for approximating the system nonlinearity. Using appropriate Lyapunov-Krasovskii functional the stability of the nonlinear system is ensured by the solution of linear matrix inequalities. Finally, a relevant example is given to illustrate the effectiveness of the proposed control scheme.