E. Fornasini and G. Marchesini, “State-Space Realization Theory of Two-Dimensional Filters,” IEEE Transactions on Automatic Control, Vol. 21, No. 4, 1976, pp. 484-492. doi:10.1109/TAC.1976.1101305

has been cited by the following article:

• TITLE: LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems

  AUTHORS: Amit Dhawan, Haranath Kar

  KEYWORDS: Linear Matrix Inequality, Lyapunov Methods, Robust Stability, 2-D Discrete Systems, Uncertain Systems, Fornasini-Marchesini Second Local State-Space Model

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.2 No.4, November 16, 2011

  ABSTRACT: This paper studies the problem of the guaranteed cost control via static-state feedback controllers for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm bounded uncertainties. A convex optimization problem with linear matrix inequality (LMI) constraints is formulated to design the suboptimal guaranteed cost controller which ensures the quadratic stability of the closed-loop system and minimizes the associated closed-loop cost function. Application of the proposed controller design method is illustrated with the help of one example.