State space realization of even generalized positive and odd rational function. Applications to static output feedback

Details State space realization of even generalized positive and odd rational function. Applications to static output feedback State space realization of even generalized positive and odd rational function. Applications to static output feedback

2012-02-06

arxiv.org/abs/1202.1099v1

Mathematics

Optimization and Control

Scientific paper

We here specialize the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) to complex matrix-valued rational functions, (i) generalized positive even and (ii) odd. On the way we characterize the (non) minimality of realization of arbitrary systems through (i) the corresponding state matrix and (ii) moving the poles by applying static output feedback. We then explore the application of static output feedback to both generalized positive even and to odd functions.

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