Q.-L. Wei, H.-G. Zhang, D.-R. Liu and Y. Zhao, “An Optimal Control Scheme for a Class of Discrete-Time Nonlinear Systems with t Delays Using Adaptive Dynamic Programming,” ACTA Automatica Sinica, Vol. 36, No. 1, 2010, pp. 121-129. doi:10.3724/SP.J.1004.2010.00121

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.