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Original Articles

Necessary and sufficient conditions for stability of time-varying discrete interval matrices

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Pages 1021-1029 | Received 06 Mar 1992, Published online: 15 Mar 2007
 

Abstract

Sufficient conditions for the stability of time-varying discrete interval systems are presented. The spectral radius of the maximum absolute matrix of all interval matrices is employed as opposed to utilizing the matrix norm or Lyapunov theorem. For special cases, our result becomes a necessary and sufficient condition for stability. Furthermore, the proposed conditions are inclusive of the previous results of stability of time-invariant interval systems.

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