论文部分内容阅读
本文讨论了离散时间系统状态方程时域解公式的数学和物理意义。文中指出,由于某些教材对这一问题没有引起足够重视,结果造成对例题的求解有欠妥之处。所以,有必要提出来讨论。一、离散时间系统状态方程时域求解公式为便于说明问题,先将教材[Ⅰ]和教材[Ⅱ]中关于状态方程时域解公式的叙述简单归纳于下。对于线性时不变离散时间系统,令激励为[f (k) ],响应为〔Y(k)],状态变量为[x(k)],则系统的状态方程和输出方程分别为
This article discusses the mathematical and physical implications of the time-domain solution to the discrete-time system state equation. The article pointed out that due to some textbooks did not pay enough attention to this issue, as a result of the solution to the problem of some defects. Therefore, it is necessary to put forward the discussion. First, discrete-time system state equation time domain solution formula To facilitate the explanation of the problem, the first textbook [Ⅰ] and textbook [Ⅱ] on the equation of state solution of time domain solutions simply summarized in the next. For linear time-invariant discrete-time systems, the excitation is [f (k)], the response is [Y (k)] and the state variable is [x (k)]. The state equation and output equation of the system are