判断下列LTI系统是否因果、稳定。[tex=6.143x1.429]pS3Ng8K2W+bIBCnduieQxzGnVLI48/aDP1IL7XfloNY=[/tex].

2022-06-16

判断下列LTI系统是否因果、稳定。[tex=6.143x1.429]pS3Ng8K2W+bIBCnduieQxzGnVLI48/aDP1IL7XfloNY=[/tex].

答案：

由于 [tex=15.429x3.0]KYDD1VVtyjGfkmVyl5f5vg2K338f9KlTBxrMhM63jptV8nOgsbLXhHL/obpxzEdu51enTDus0MBbse6Nz0RSkv7FgQMZ9wc552ZvfRZksbVXz7ef+vAMAvJm562Z3Ck0dUcjCIy7A3eSiNQzwfUkqTTuDEjXUVO+t44wccksYkTCtBBRuiQjefPb0gzn6CBo/23d4bG7YiS8tKAa7PzyPA==[/tex] 当 [tex=2.429x1.071]Rgnw6H9bxYi8lkJDrClV2w==[/tex]时, [tex=7.071x2.714]KYDD1VVtyjGfkmVyl5f5vg2K338f9KlTBxrMhM63jpur83b++Q7Svc4jDPnLTc6jFvffW+RZqgrgj+tVhqQu0Q==[/tex]为有限值, 故系统稳定 : 当[tex=2.429x1.143]xnVh95fMuQa77RdzPf36MA==[/tex]时, [tex=7.357x2.714]KYDD1VVtyjGfkmVyl5f5vg2K338f9KlTBxrMhM63jpvxBSm9XxVCfdLU0YODg573qbTJrxFnKB0bSOrG6GVPiw==[/tex], 不是无限值, 故系统不稳定。又由于[tex=6.286x1.286]kTuUGaQuOedx5HG1atsxEYW2uPGgAcP2Bcgx2fUM8+I=[/tex] 所以系统不是因果系统。

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内容

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判断下列连续LTI时间系统是否因果。[tex=5.714x1.5]G3bbhHKSVOEMxFoVTdbPGrwShZeLX6aV9Wt5BFaBkq0=[/tex]
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判断下列连续LTI时间系统是否因果。[tex=21.214x2.5]MMYi6kf90B+EtdLL6seyiizI6XPjYwv9Led7dhjDe8OVmX2IAhChcd1oUrrKrXzH/p6JOnnjTAMzyxXSK8n0utYybrdNC6xL+3XYPBqdq+IF0VlHOLhke3Xoh5G8u98hke0MWSt9Wea/w7fUQ99uxg==[/tex]
2
判断下列连续LTI时间系统是否因果。[tex=21.214x2.5]MMYi6kf90B+EtdLL6seyiizI6XPjYwv9Led7dhjDe8OVmX2IAhChcd1oUrrKrXzH/p6JOnnjTAMzyxXSK8n0utYybrdNC6xL+3XYPBqdq+IF0VlHOLhke3Xoh5G8u98hke0MWSt9Wea/w7fUQ99uxg==[/tex]
3
判断下列连续LTI时间系统是否因果。[tex=21.214x2.5]MMYi6kf90B+EtdLL6seyiizI6XPjYwv9Led7dhjDe8OVmX2IAhChcd1oUrrKrXzH/p6JOnnjTAMzyxXSK8n0utYybrdNC6xL+3XYPBqdq+IF0VlHOLhke3Xoh5G8u98hke0MWSt9Wea/w7fUQ99uxg==[/tex]
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判断下列连续LTI时间系统是否因果。[tex=21.214x2.5]MMYi6kf90B+EtdLL6seyiizI6XPjYwv9Led7dhjDe8OVmX2IAhChcd1oUrrKrXzH/p6JOnnjTAMzyxXSK8n0utYybrdNC6xL+3XYPBqdq+IF0VlHOLhke3Xoh5G8u98hke0MWSt9Wea/w7fUQ99uxg==[/tex]