0410608 20240103182226.220060210235959.9 4 s. cav_un_epca*02567210018-9286468 (2001)1285-1288Institute of Electrical and Electronics Engineers linear matrix inequalities (LMIs) linear systems optimization cav_un_auth*0101104 Henrion Didier UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0202348 Meinsma G. NL 09I AV0Z1075907 We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semidefinite programming. Links are established between the Lyapunov matrix, rank-one linear matrix inequalities (LMIs), and the Lagrange multiplier arising in duality theory. BC TŘ http://hdl.handle.net/11104/0130697 UTIA-B 20010077 2001 cav_un_epca*0256721 IEEE Transactions on Automatic Control 0018-9286 1558-2523 Roč. 46 č. 8 2001 1285 1288 Institute of Electrical and Electronics Engineers