Value Set Construction

In the previous chapter the stability test by zero exclusion from the value set at all frequencies was used as a concept for proofs of Kharitonov’s theorem and the edge theorem. For nonlinear parameter dependency there are no such simple results, it may be possible, however, to construct the value set and to use it for the stability test by zero exclusion. We will see that the construction of value sets can be performed extremely fast if the system has a so-called tree structure.