Zooming a portion of figure in a figure

Hi, i want to zoom in on a portion of this figure. It is a plot of eigenvalues, and I want to show a zoomed figure of the eigenvalues close to real axis equal zero. As you can see I have tried my best at the end, but it doesn't work. Can anyone help?

close all

L = 0.01;
R = 0.1;
K_i = 800;
K_p = [0.8, 1.2, 2, 4, 10, 40, 100];

figure;
for i=1:length(K_p)
    A = [0 -K_i ; 1/L -(R+K_p(i))/L]; 
    z = eig(A);
    a = real(z);
    b = imag(z);
    txt = ['Kp = ', num2str(K_p(i))];
    plot(a, b, 'o', 'DisplayName',txt)
    hold on
    legendnames(i) = K_p(i);
end 
    hold off
    grid on
    legend('Location','northwest')
    legend show
    xlabel('Real axis'),ylabel('Imaginary axis')
    xlim([-10500 100])
    ylim([-300 300])

axes('position', [0.2 0.2 0.25 0.25])
box on
your_index = -1000 < a & 100 > a;
plot(a(your_index), b(your_index));
axis tight

Answer 1

[Daniel M]

I just made some minor adjustments

close all

L = 0.01;
R = 0.1;
K_i = 800;
K_p = [0.8, 1.2, 2, 4, 10, 40, 100];

figure('Position',[52   237   890   659]);
for i=1:length(K_p)
    A = [0 -K_i ; 1/L -(R+K_p(i))/L];
    z = eig(A);
    a = real(z);
    b = imag(z);
    txt = ['Kp = ', num2str(K_p(i))];
    plot(a, b, 'o', 'DisplayName',txt)
    hold on
    legendnames(i) = K_p(i);
end

g = get(gca);
pt = 7;
colorOfPoint = g.ColorOrder(pt,:);
% this get the color of the point "pt"

hold off
grid on
legend('Location','northwest')
legend show
xlabel('Real axis'),ylabel('Imaginary axis')
xlim([-10500 100])
ylim([-300 300])

axes('position', [0.2 0.2 0.25 0.25])
box on
your_index = -1000 < a & 100 > a;
plot(a(your_index), b(your_index),'o','MarkerSize',10,'Color',colorOfPoint);
axis tight
grid on
ann1 = annotation('textbox', 'Units','pixels',...
    'Position',[198   109   203    76], ...
    'String', 'Kp = 100', ...
    'EdgeColor', 'none', ...
    'FontSize', 12, ...
    'FontName', 'Helvetica');

[Marie Pettersen]

Wow, that's perfect! Thank you so much! Is there any way to show more than one point in the zoomed in figure? If I for instance want a zoomed in figure of all the points inside the red rectangular as you can see in the picture attached.

[Daniel M]

Yes it's possible, just make an array that contains all those points, and plot them. Although, they are kind of spread apart, I don't really see how the inset picture will be better than your main figure.

[Marie Pettersen]

That's true. Again, thank you very much!