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D. Liu, “Lyapunov Stability of Two-Dimensional Digital Filters with Overflow Nonlinearities,” IEEE Transactions on Circuits and Systems I, Vol. 45, No. 5, 1998, pp. 574- 577. doi:10.1109/81.668870

has been cited by the following article:

• TITLE: Robust Non-Fragile Control of 2-D Discrete Uncertain Systems: An LMI Approach

  AUTHORS: Paramanand Sharma, Amit Dhawan

  KEYWORDS: 2-D Discrete Systems; Fornasini-Marchesini Second Local State-Space Model; Non-Fragile Control; Linear Matrix Inequality; Lyapunov Methods

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.3 No.3, August 31, 2012

  ABSTRACT: This paper considers the problem of robust non-fragile control for a class of two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model under controller gain variations. The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of non-fragile robust controllers via state feedback such that the resulting closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. Finally, a numerical example is illustrated to show the contribution of the main result.