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R. Yang, L. Xie and C. Zhang, “H₂ and Mixed H₂/H_oo Control of Two-Dimensional Systems in Roesser Model,” Automatica, Vol. 42, No. 9, 2006, pp. 1507-1514. doi:10.1016/j.automatica.2006.04.002

has been cited by the following article:

• TITLE: Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model

  AUTHORS: Amit Dhawan

  KEYWORDS: 2-D Discrete Systems; Non-Fragile Control; Roesser Model; Linear Matrix Inequality; Lyapunov Methods

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.3 No.2, May 30, 2012

  ABSTRACT: This paper is concerned with the design problem of non-fragile controller for a class of two-dimensional (2-D) discrete uncertain systems described by the Roesser model. The parametric uncertainties are assumed to be norm-bounded. The aim of this paper is to design a memoryless non-fragile state feedback control law such that the closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A new linear matrix inequality (LMI) based sufficient condition for the existence of such controllers is established. Finally, a numerical example is provided to illustrate the applicability of the proposed method.