LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Submatrix Determinants and Imaginary and Real Parts

Submatrix Determinants Required data Consider , Let be a submatrix of A consisting of its first rows and columns, where . Matrix inequality The matrix inequality is satisfied if and only if . Imaginary and Real Parts Required data Consider , , , Matrix inequality The matrix inequality, is equivalent to the matrix inequality given by . 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.