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D. Henrion, M. Sebek and O. Bachelier, “Rank-1 LMI Approach to Stability of 2-D Polynomial Matrices,” Multidimens Systems Signal Process, Vol. 12, No. 11, 2001, pp. 33-48. doi:10.1023/A:1008464726878

has been cited by the following article:

• TITLE: Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model

  AUTHORS: Manish Tiwari, Amit Dhawan

  KEYWORDS: Guaranteed Cost Control; Linear Matrix Inequality; Lyapunov Methods; Robust Stability; 2-D Discrete Systems; Uncertain Systems

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

  ABSTRACT: This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New linear matrix inequality (LMI) based characterizations are presented for the existence of static-state feedback guaranteed cost controller which guarantees not only the asymptotic stability of closed loop systems, but also an adequate performance bound over all the admissible parameter uncertainties. Moreover, a convex optimization problem is formulated to select the suboptimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.