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

Hong Shi, Guangming Xie and Wenguang Luo

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:490903

DOI: 10.1155/2012/490903

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