TY - GEN A1 - BrĂ¼ll, Tobias T1 - Checking dissipativity of behavioral systems using para-Hermitian matrix polynomials N2 - The behavior approach and the problem of dissipativity have both been introduced and studied extensively by Willems et al. However, a computationally feasible method to check dissipativity is missing. Current methods will mostly rely on symbolic representations of rational functions. We will discuss a new characterization for linear systems in behavior form that allows to check dissipativity via the solution of a para-Hermitian, polynomial eigenvalue problem. Thus, we can employ standard methods of cubic complexity. KW - Popov function KW - structured eigenvalue problem KW - generalized eigenvalue$ KW - problem KW - polynomial eigenvalue problem KW - dissipativity KW - passivity KW - contractivity KW - purely imaginary eigenvalue KW - even pencil KW - even polynomial KW - cyclo-dissipativity KW - behavior approach KW - frequency-domain KW - para-Hermitian polynomial Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/678 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-6789 ER -