论文标题
连续/离散正/有限的真实状态空间系统的统一框架
A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems
论文作者
论文摘要
被动，线性时间不变的系统有四种变体，由有理函数描述：连续或离散的时间，正面或有限的真实。通过引入二次矩阵不等式公式，我们提出了以上四类被动系统的状态空间表征（又称Kalman-Yakubovich-Popov Lemma）的统一框架。 这四个系列是矩阵凸X作为有理函数，并且对于相应的平衡，状态空间实现阵列而言，版本略有弱。
There are four variants of passive, linear time-invariant systems, described by rational functions: Continuous or Discrete time, Positive or Bounded real. By introducing a quadratic matrix inequality formulation, we present a unifying framework for state-space characterization (a.k.a. Kalman-Yakubovich-Popov Lemma) of the above four classes of passive systems. These four families are matrix-convex as rational functions, and a slightly weaker version holds for the corresponding balanced, state-space realization arrays.
