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Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems

Author

Listed:
  • L. F. Araghi
  • A. A. Suratgar
  • E. Feizi

Abstract

Stability of switching systems with an infinite number of subsystems is important in some structure of systems, like fuzzy systems, neural networks, and so forth. Because of the relationship between stability of a set of matrices and switching systems, this paper first studies the stability of a set of matrices, then and the results are applied for stability of switching systems. Some new conditions for globally uniformly asymptotically stability (GUAS) of discrete‐time switched linear systems with an infinite number of subsystems are proposed. The paper considers some examples and simulation results.

Suggested Citation

  • L. F. Araghi & A. A. Suratgar & E. Feizi, 2014. "Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:302542
    DOI: 10.1155/2014/302542
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    References listed on IDEAS

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    1. Yi Zhang & Yuyun Zhao & Honglei Xu & Hongting Shi & Kok Lay Teo, 2013. "On Boundedness and Attractiveness of Nonlinear Switched Delay Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Yi Zhang & Yuyun Zhao & Honglei Xu & Hongting Shi & Kok Lay Teo, 2013. "On Boundedness and Attractiveness of Nonlinear Switched Delay Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, November.
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