Solving an ODE with restriction on states

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Sanaz 2013-8-20

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https://ww2.mathworks.cn/matlabcentral/answers/85185-solving-an-ode-with-restriction-on-states

评论： Antonio Garcia-Martinez 2016-3-28

Hi I have a set of equations and I am solving them with ode45. everything is working fine and the results are as expected. Now I want to apply a restriction to one of the states and I don't know how should I do that. the system has 10 states and the restriction is as follows:

I want to apply the restriction to my second state, I want it to be equal to first state when it's less than the first state and be itself when it's greater. something like this:

if x(2) < x(1) x(2) = x(1) end

Does anybody know how I should apply this to my code? should I write an event for the ode45?

Thanks