求下列差分方程的零输入响应。[br][/br][tex=13.429x2.357]inul+s1aLNouaqV9ALwQPACpLsuJNS+NDloXUfZ+ygU0AvHbFO5P0UulPGJyR+Ck[/tex]

2022-07-23

求下列差分方程的零输入响应。[br][/br][tex=13.429x2.357]inul+s1aLNouaqV9ALwQPACpLsuJNS+NDloXUfZ+ygU0AvHbFO5P0UulPGJyR+Ck[/tex]

答案：

解   将差分方程移序变换得[p=align:center][tex=10.071x2.786]bxChQKvspzHb9wmHCn82EpeFDyeSjtXw+sJQlwXF7IbesyrGGILxtduOD+7+cBicGlkrUeRpQ6ty0I6qbKLu3Q==[/tex]特征方程 [tex=5.357x2.357]TBC61VZFDLrglus6ZiV52Vb0K2F1oSnMduet9OaSQLg=[/tex], 求解得特征根[p=align:center][tex=3.357x2.357]pMvkCI32ovm+1pKn5K+/sWXFXBNnBV6UK3gHQ8A6Kiw=[/tex]零输入响应为[tex=10.571x3.0]i6MgQaLkl2gDYtYUQZclmWlkRO0qDaSoUYQM+BTIb+P/85EknWOe6zDXElVyG4QAo2NpWoZ6ohlI/jzSn417d7xaHKkGW9W6j5SERedpoC0=[/tex]代入初始状态值得[p=align:center][tex=27.143x2.929]YwTz9hyRIuSqOyN/bFVc4PrdRKjEWqPCXApgOuiLmlX/x18NN3n9qR1hr+dktfcMq30RRWjT5vzzqMOFMn4YGbhiLDVRMuj/nGcXO65cvkzlAuwGplgmG6fEuAhLMyvKz3yB0y6Jft9zm53jnP+2mdMmpjDuZ6aSW+y83BPX+W0=[/tex]即[tex=3.286x2.357]m39frY+Kmu3/TutN+hUJOOUILA/DKEXqTyq94/12BjA=[/tex], 由此求得零输入响应[p=align:center][tex=9.643x3.0]uBInCFzZeImbih6+nH6ybsZb158UzEfaZ/WLQ9qZfPXH4/tQ9TwbA1+XkPiFAXmFh4vcsdievlDr3B+w5vqiFv9wr6fUux9pScZlzU6ZU3Y=[/tex]

举一反三

内容

0
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1
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2
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