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

abstract

  • 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. Subjects: Optimization and Control (math. OC); Functional Analysis (math. FA) MSC classes: 15B48, 26C15, 47L07, 93B15 (Primary) 15A45, 93B52, 93D10, 94C05 (Secondary) Cite as: arXiv: 1202.1099 [math. OC](or arXiv: 1202.1099 v1 [math. OC] for this version) Submission history From: Daniel Alpay A [view email][v1] Mon, 6 Feb 2012 10: 54: 54 GMT (25kb)

publication date

  • January 1, 2012