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Passivity Criteria for Infinite‐Dimensional Descriptor Systems
Author(s) -
Reis Timo,
Jacob Birgit
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810073
Subject(s) - passivity , property (philosophy) , mathematics , lebesgue integration , inequality , domain (mathematical analysis) , control theory (sociology) , operator (biology) , product (mathematics) , pure mathematics , mathematical analysis , computer science , control (management) , engineering , philosophy , artificial intelligence , biochemistry , chemistry , geometry , epistemology , repressor , transcription factor , electrical engineering , gene
We study infinite–dimensional descriptor systems with the property of input–output–passivity, that is, the Lebesgue inner product of input and output has positive real part. A sufficient criterion for passivity, is given in terms of a certain operator inequality generalizing the Kalman–Yakubovich–Popov inequality. We furthermore characterize passivity in the frequency domain. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)