The Step Response of Continuous-Time Systems

被引：0
|
作者：
Dale, Wilbur N. [1 ]
机构：
[1] Virginia Mil Inst, Lexington, VA 24450 USA
来源：
PROCEEDINGS OF THE IEEE SOUTHEASTCON 2009, TECHNICAL PROCEEDINGS | 2009年
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D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we will prove that a causal, linear, continuous-time, time-invariant system is bounded if the step response is a function of bounded variation. We then present an example of a causal, linear, continuous-time, time-invariant, bounded operator that does not have an impulse response in the normal sense. The example system response to an impulse input signal is zero and the impulse response does not contain any impulse functions. Hence, the continuous-time operators have a more complex structure than our intuition has Led us to believe.
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页码：102 / 108
页数：7
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