TY - GEN A1 - BrĂ¼ll, Tobias T1 - Dissipativity and linear matrix inequalities N2 - In this paper we will consider first-order linear systems with quadratic cost or energy functionals. For such systems we will show that (under some controllability assumptions) dissipativity is equivalent to the solvability of a certain linear matrix inequality. KW - dissipativity KW - linear matrix inequality KW - available storage KW - required supply KW - storage function KW - linear quadratic optimal control Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/719 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-7190 ER -