Pole-assignment of discrete time-delay systems with symmetries

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May 2006, 6(3): 641-649. doi: 10.3934/dcdsb.2006.6.641

Pole-assignment of discrete time-delay systems with symmetries

B. Cantó ^1, , C. Coll ^1, , A. Herrero ^1, , E. Sánchez ^1, and N. Thome ^1,

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

Received March 2005 Revised December 2005 Published February 2006

Abstract
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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.

Keywords: Feedback, symmetric systems, pole-assignment..

Mathematics Subject Classification: Primary: 93B52, 15A09; Secondary: 93B2.

Citation: B. Cantó, C. Coll, A. Herrero, E. Sánchez, N. Thome. Pole-assignment of discrete time-delay systems with symmetries. Discrete & Continuous Dynamical Systems - B, 2006, 6 (3) : 641-649. doi: 10.3934/dcdsb.2006.6.641

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