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H. Kar, “Comments on ‘New LMI Condition for the Nonexistence of Overflow Oscillations in 2-D State-Space Digital Filters Using Saturation Arithmetic’,” Digital Signal Process, Vol. 18, No. 2, 2008, pp. 148-150. doi:10.1016/j.dsp.2007.02.001

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.