LMIs in Control/Matrix and LMI Properties and Tools/Young’s Relation (Completion of the Squares)

This method is used to solve quadratic equations that can't be factorized. Matrix inequality Consider and , where >0, The matrix inequality given by which is named Young’s relation or Young’s inequality. Derivation Young’s relation can be derived from a completion of the squares as follows. which is named Young’s relation. Reformulation of Young’s Relation Consider and , where >0, The matrix inequality given by is a reformulation of Young’s relation. External Links A list of references documenting and validating the LMI. LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet. LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd. LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. (2.4.1 page 23) Return to Main Page: