Multidimensional Systems and Signal Processing

, Volume 25, Issue 1, pp 235–244

Stability of nonlinear time-varying digital 2-D Fornasini-Marchesini system

Open AccessCommunication Brief

DOI: 10.1007/s11045-012-0193-4

Cite this article as:
Kurek, J.E. Multidim Syst Sign Process (2014) 25: 235. doi:10.1007/s11045-012-0193-4


Stability of a system described by the time-varying nonlinear 2-D Fornasini-Marchesini model is considered. There are given notions of stability of the system and theorems for stability and asymptotic stability which can be considered as the Lyapunov stability theorem extension for the system.


2-D Fornasini-Marchesini systemStability of 2-D systemsNonlinear systemsLyapunov function
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© The Author(s) 2012

Authors and Affiliations

  1. 1.Institute of Automatic Control and RoboticsWarsaw University of TechnologyWarszawaPoland