On testing stability of 2-D discrete systems by a finite collection of 1-D stability tests

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Abstract

A recent paper in these transactions showed that the testing of a two-dimensional (2-D) system can be carried out by a finite collection of suitable 1-D stability tests and presented a stability test for 2-D discrete-time linear system of unprecedented low computational complexity. The new solution was obtained by simplifying an immittance-type tabular 2-D stability test by telepolation (telescoping by interpolation the last polynomial of the 2-D table). This brief presents a similar simplification for another, related but different, immittance-type tabular test. The resulting new procedure is shown to have various aesthetical and practical advantages over the previous form of the solution.

Original languageEnglish
Pages (from-to)1634-1638
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume49
Issue number11
DOIs
StatePublished - Nov 2002

Keywords

  • Discrete-time systems
  • Immittance algorithms
  • Multi-dimensional digital filters
  • Multidimensional systems
  • Stability
  • Stability criteria

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