Pole-assignment of discrete time-delay systems with symmetries

B. Cantó; C. Coll; A. Herrero; E. Sánchez; N. Thome

doi:10.3934/dcdsb.2006.6.641

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2006, Volume 6, Issue 3: 641-649. Doi: 10.3934/dcdsb.2006.6.641

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Pole-assignment of discrete time-delay systems with symmetries

1.
Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera 14, 46022 Valencia

Received: February 28, 2005

Revised: November 30, 2005

Published: April 2007

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Abstract

This paper deals with the behavior of symmetric discrete--time systems with delays. The influence of the delay over these systems is analyzed in the stabilization problem. Furthermore, conditions on the system are given in order to solve the pole--assignment problem. Finally, some examples are shown with the aim to clarify the obtained results.

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Mathematics Subject Classification: Primary: 93B52, 15A09; Secondary: 93B25.

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