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Multidimensional Systems and Signal Processing

, Volume 5, Issue 4, pp 345–361 | Cite as

Some new results on stability robustness of two-dimensional discrete systems

  • W. -S. Lu
Article

Abstract

In this paper, we study the problem of stability robustness of two-dimensional discrete systems in a local state-space setting. Two methods are proposed for efficient numerical evaluation of the exact complex perturbation bound ν. The first method combines Byers' bisection method with a three-point-pattern optimization technique to compute ν. The second method utilizes a direct optimization technique to find the bound. In addition, a 2-D Lyapunov approach is proposed to obtain two lower bounds of ν, and numerical techniques for solving the constant 2-D Lyapunov equation involved are presented. The paper is concluded with an example illustrating the main results obtained.

Keywords

Artificial Intelligence Lower Bound Optimization Technique Numerical Evaluation Numerical Technique 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • W. -S. Lu
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of VictoriaVictoriaCanada

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