LMIs in Control/Click here to continue/Applications of Non-Linear Systems/Global Minimum of Polynomial via SOS Method

[UNDER CONSTRUCTION] - CME The global minimum of a certain polynomial functions can be found using Sum-of-Squares (SOS) methods. This is a useful starting point to the more-useful but less straightforward issue of local minimums. Required Data A polynomial function whose minimum is desired. The Problem To find the minimum value of , we suppose that there exists a scalar such that This is equivalent to determining if has a SOS representation, since a SOS polynomial is never negative. This becomes an optimization problem by attempting to find the largest possible such that a representation exists. In other words, the optimization problem becomes subject to Example Code example in SOStools probably worthwhile! Reference SOS tools manual is a good one Related LMIs SOS Basics Local Minimum is a solid follow-up Return to Main Page: </noinclude>