how i can found the region of absolute stability ?

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n=0:30:180
h=((768 *cos((1/2)*n) + 96* cos(n) - 864) ./ (40*cos (1/2*n)+ 2*cos(n)+ 102))
figure
plot(n,h, 'b*-', 'LineWidth', 2)
grid on;
xlabel('n', 'FontSize', 20);
ylabel('h', 'FontSize', 20);

采纳的回答

Image Analyst
Image Analyst 2018-7-7
Because you're using / (array division) instead of ./ (element by element division). Try this:
n=0:30:180
h=((768 *cos((1/2)*n) + 96* cos(n) - 864) ./ (40*cos (1/2*n)+ 2*cos(n)+ 102))
figure
plot(n,h, 'b*-', 'LineWidth', 2)
grid on;
xlabel('n', 'FontSize', 20);
ylabel('h', 'FontSize', 20);
% Do it again with more resolution.
n = linspace(min(n), max(n), 1000);
h=((768 *cos((1/2)*n) + 96* cos(n) - 864) ./ (40*cos (1/2*n)+ 2*cos(n)+ 102))
hold on;
plot(n,h, 'r-', 'LineWidth', 2)
grid on;
xlabel('n', 'FontSize', 20);
ylabel('h', 'FontSize', 20);

更多回答(2 个)

sadeem alqarni
sadeem alqarni 2018-7-8
how i can found the region of absolute stability ?
  2 个评论
Image Analyst
Image Analyst 2018-7-8
How is this an "Answer" to your original question? Anyway, as you can see from my plot, it depends on how you define stable. The values are constantly changing so they're not stable, however the overall pattern seems pretty stable - it seems to oscillate pretty much the same way over the time period plotted.

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sadeem alqarni
sadeem alqarni 2018-7-8

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