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Controllability Analysis of Linear Discrete Time Systems with Time Delay in State

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  • Hong Shi
  • Guangming Xie
  • Wenguang Luo

Abstract

The controllability issues for linear discrete-time systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the characteristic of controllability is revealed. It is proved that the MinCRI of a system with state delay exists and is finite. Based on this result, a necessary and sufficient condition for the controllability of discrete-time linear systems with state delay is established.

Suggested Citation

  • Hong Shi & Guangming Xie & Wenguang Luo, 2012. "Controllability Analysis of Linear Discrete Time Systems with Time Delay in State," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, October.
    • Handle: RePEc:hin:jnlaaa:490903
    DOI: 10.1155/2012/490903
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