| 基于换路时刻激励模型的LTI系统时域求解 |
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| 引用本文： | 李泽光,张瑾,沈连山. 基于换路时刻激励模型的LTI系统时域求解[J]. 辽宁工程技术大学学报(自然科学版), 2010, 29(1) |
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| 作者姓名： | 李泽光 张瑾 沈连山 |
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| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
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| 基金项目： | 国家自然科学基金资助项目(50809008) |
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| 摘 要： | 为了解决在时域求因果LTI连续时间系统响应问题,通过建立系统换路时刻的激励模型并借助于冲激函数匹配法,使LTI连续时间系统各个响应的时域求解做到完善和统一。结果表明:LTI连续时间系统的全响应r(t)和零输入响应rzi(t)不仅与系统换路之前t=0_时刻的起始状态r(k)(0_)有关,还与系统在此时刻的激励信号值e(0_)有关。利用换路时刻激励模型求解LTI系统响应与拉普拉斯变换方法求解相一致。该成果解决了因果LTI连续时间系统(或常系数微分方程)的时域统一求解问题,对LTI连续时间系统响应时域求解具有实际意义。
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| 关 键 词： | 激励模型 LTI连续时间系统 冲激函数匹配法 零输入响应 |
Time-domain solution of LTI systems based on excitation model at system switching-over time |
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| LI Zeguang,ZHANG Jin,SHEN Lianshan. Time-domain solution of LTI systems based on excitation model at system switching-over time[J]. Journal of Liaoning Technical University (Natural Science Edition), 2010, 29(1) |
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| Authors: | LI Zeguang ZHANG Jin SHEN Lianshan |
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| Affiliation: | College of Information Engineering;Dalian University;Dalian 116622;China |
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| Abstract: | In order to obtain a time-domain solution of causal LTI continuous-time systems,an excitation model is established at system switching-over time and the impulse function matching method is used. This brings about perfection and unity of response solution of LTI continuous-time systems on time-domain. The result shows that total response and zero-input response of LTI Continuous-Time Systems relate not only to system's initial status r ( k)(0_) but also to excitation signal value e(0_) at t = 0_of system swi... |
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| Keywords: | excitation-model LTI continuous-time systems impulse function matching method zero-input response |
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