LMIs in Control/Local Minimum of Polynomial via SOS Method

[UNDER CONSTRUCTION] - CME The local minimum of a certain polynomial functions f(x) can be found using Sum-of-Squares (SOS) methods. Here we assume the local set has a P-Compact representation, and that this representation is used. Required Data A polynomial function f(x) whose minimum is desired. A P-Compact representation of the set. First Steps Touch up on the Putinar Positivstellensatz and what it means for us. Why does it work Based in S-Procedure, with the Positivstellensatz all about the right representation. Example Code example in SOStools probably worthwhile! Reference SOS tools manual is a good one Related LMIs SOS Basics Global Minimum Return to Main Page: </noinclude>