Changing the Right Hand Side and Restarting

As result of the root finding algorithm an interval [a, 6] containing the switching point is obtained. Now, it must be checked if there exists a root, maybe of an other switching function in H this is the case, the root finding algorithm has to 

Estimate the location of all roots using the secant rule. Let the index of the switching function with the first estimated root be 

The determination of the new right hand side to be used may be a difficult task if the switching of one function causes other variables or functions in the right hand side to have jump discontinuities. In Sec 6.5.2 this case is discussed for structure varying systems. 

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