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zcs179895723
[专家分：330] 发布于 2009-01-21 11:39:00
α_1 ∇^2 Y_t+α_2 ∇Y_t+Y_t=β_1 〖a_t〗^4+β_2 〖a_t〗^3+β_3 〖a_t〗^2+β_4 a_t+β_5
这是一个差分方程，Y_t 是t时刻的输出，a_t 是t时刻的输入，∇表示差分 ∇Y_t=Y_t-Y_(t-1) ∇^2 Y_t=Y_t-2Y_(t-1)+Y_(t-2)
数据：输入 输出
第一个数是t=0时刻，两个数之间的间隔是0.2s，需要估算这个方程的系数
13.388 0
13.388 0
13.388 0.096774194
13.388 0.290322581
13.388 0.967741935
13.388 1.258064516
13.388 1.35483871
13.388 2.709677419
13.388 2.032258065
13.388 1.741935484
13.388 1.838709677
13.388 1.741935484
13.388 2.225806452
13.388 1.935483871
13.388 2.709677419
13.388 3
9.978 2.90322581
9.978 2.574193548
16.588 2.77419355
9.978 2.958064516
13.388 3.161290323
16.588 2.870967742
13.388 3.903225806
16.588 3.387096774
16.588 3.274193548
13.388 3.990322581
13.388 3.180645161
9.978 2.225806452
16.588 1.838709677
16.588 1.961290323
16.588 1.967741935
9.978 1.548387097
16.588 2.032258065
13.388 3.051612903
9.978 1.548387097
13.388 1.741935484
9.978 1.64516129
9.978 3.235483871
13.388 2.612903226
13.388 2.903225806
16.588 3.483870968
9.978 3.074193548
9.978 3.3546
9.978 4.106451613
16.588 3.096774194
9.978 4.258064516
13.388 3.774193548
16.588 3.677419355
13.388 3
16.588 3.329032258
16.588 3.570967742
13.388 3.064516129
13.388 1.741935484
9.978 1.935483871
16.588 0.870967742
16.588 1.451612903
16.588 1.35483871
9.978 1.451612903
16.588 2.322580645
13.388 2.806451613
9.978 3.096774194
13.388 3.580645161
9.978 2.516129032
9.978 3
13.388 3.193548387
13.388 3.096774194
16.588 3.193548387
9.978 2.516129032
9.978 3.064516129
9.978 2.574193548
16.588 2.77419355
9.978 2.958064516
13.388 3.161290323
16.588 2.870967742
13.388 3.903225806
16.588 3.387096774
16.588 3.274193548
13.388 3.990322581
13.388 3.180645161
9.978 2.225806452
16.588 1.838709677
16.588 1.961290323
16.588 1.967741935
9.978 1.548387097
16.588 2.032258065
13.388 3.051612903
9.978 1.548387097
13.388 1.741935484
9.978 1.64516129
9.978 3.235483871
13.388 2.612903226
13.388 2.903225806
16.588 3.483870968
9.978 3.074193548
9.978 3.3546
9.978 4.106451613
16.588 3.096774194
9.978 4.258064516
13.388 3.774193548
16.588 3.677419355
13.388 3
这是一个差分方程，Y_t 是t时刻的输出，a_t 是t时刻的输入，∇表示差分 ∇Y_t=Y_t-Y_(t-1) ∇^2 Y_t=Y_t-2Y_(t-1)+Y_(t-2)
数据：输入 输出
第一个数是t=0时刻，两个数之间的间隔是0.2s，需要估算这个方程的系数
13.388 0
13.388 0
13.388 0.096774194
13.388 0.290322581
13.388 0.967741935
13.388 1.258064516
13.388 1.35483871
13.388 2.709677419
13.388 2.032258065
13.388 1.741935484
13.388 1.838709677
13.388 1.741935484
13.388 2.225806452
13.388 1.935483871
13.388 2.709677419
13.388 3
9.978 2.90322581
9.978 2.574193548
16.588 2.77419355
9.978 2.958064516
13.388 3.161290323
16.588 2.870967742
13.388 3.903225806
16.588 3.387096774
16.588 3.274193548
13.388 3.990322581
13.388 3.180645161
9.978 2.225806452
16.588 1.838709677
16.588 1.961290323
16.588 1.967741935
9.978 1.548387097
16.588 2.032258065
13.388 3.051612903
9.978 1.548387097
13.388 1.741935484
9.978 1.64516129
9.978 3.235483871
13.388 2.612903226
13.388 2.903225806
16.588 3.483870968
9.978 3.074193548
9.978 3.3546
9.978 4.106451613
16.588 3.096774194
9.978 4.258064516
13.388 3.774193548
16.588 3.677419355
13.388 3
16.588 3.329032258
16.588 3.570967742
13.388 3.064516129
13.388 1.741935484
9.978 1.935483871
16.588 0.870967742
16.588 1.451612903
16.588 1.35483871
9.978 1.451612903
16.588 2.322580645
13.388 2.806451613
9.978 3.096774194
13.388 3.580645161
9.978 2.516129032
9.978 3
13.388 3.193548387
13.388 3.096774194
16.588 3.193548387
9.978 2.516129032
9.978 3.064516129
9.978 2.574193548
16.588 2.77419355
9.978 2.958064516
13.388 3.161290323
16.588 2.870967742
13.388 3.903225806
16.588 3.387096774
16.588 3.274193548
13.388 3.990322581
13.388 3.180645161
9.978 2.225806452
16.588 1.838709677
16.588 1.961290323
16.588 1.967741935
9.978 1.548387097
16.588 2.032258065
13.388 3.051612903
9.978 1.548387097
13.388 1.741935484
9.978 1.64516129
9.978 3.235483871
13.388 2.612903226
13.388 2.903225806
16.588 3.483870968
9.978 3.074193548
9.978 3.3546
9.978 4.106451613
16.588 3.096774194
9.978 4.258064516
13.388 3.774193548
16.588 3.677419355
13.388 3