LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Concatenation of LMIs

Introduction Matrix concatenation is the process of joining one or more matrices to make a new matrix. This process is similar for concatenating the LMIs as well. Concatenation of LMIs A useful property of LMIs is that multiple LMIs can be concatenated together to form a single LMI. For example, satisfying the LMIs and, is equivalent to satisfying the concatenated LMI: , More generally, satisfying the LMIs , where is equivalent to satisfying the concatenated LMI: , External Links 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 downloadable book on LMIs by Ryan James Caverly and James Richard Forbes. Return to Main Page: