Title :
State space representation of SISO periodic behaviors
Author :
Aleixo, José C. ; Rocha, Paula ; Willems, Jan C.
Author_Institution :
Dept. of Math., Univ. of Beira Interior, Covilha, Portugal
Abstract :
The aim of this paper is to obtain periodic state space representations for periodic input-output behavioral systems using a lifting technique which allows to associate a time-invariant behavior to a periodic one. Our approach differs from the classical one since we do not start from a transfer function description but rather from linear difference equations with periodically time-varying coefficients.
Keywords :
difference equations; state-space methods; time-varying systems; transfer functions; SISO periodic behaviors; lifting technique; linear difference equations; periodic input-output behavioral systems; state space representation; time-invariant behavior; time-varying coefficients; transfer function description; Aerospace electronics; Context; Difference equations; Matrix decomposition; Optimization; Trajectory; Transfer functions; Mathematical systems theory; behavior; discrete-time systems; linear systems;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160552
