偶广义正奇有理函数的状态空间实现。静态输出反馈的应用
State space realization of even generalized positive and odd rational function. Applications to static output feedback
摘要：
在这里，我们专门为著名的正实引理（也称为卡尔曼-雅库博维奇-波波夫引理）复杂的矩阵值有理函数，（i）广义正偶数和（ii）奇数。在方法上，我们通过（i）相应的状态矩阵和（ii）通过应用静态输出反馈移动极点来表征任意系统实现的（非）极小性。然后，我们探讨应用静态输出反馈广义正偶和奇函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
