6 Stochastic passivity

Eli Gershon, Uri Shaked, Isaac Yaesh

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Passivity of deterministic linear systems plays an important role in network theory and in adaptive control. The fact that a system is passive entails some stability properties that allow for robust control design of this system. It is the purpose of the present chapter to investigate the corresponding situation in linear systems with multiplicative noise. The concept of stochastic passivity is first considered and a positive-real like lemma for finite dimensional linear time invariant uncertain systems with state multiplicative noise is derived. The system uncertainties are assumed to be of the polytopic type.

Original languageEnglish
Title of host publicationH-Control and Estimation of State-multiplicative Linear Systems
PublisherSpringer Verlag
Number of pages7
ISBN (Print)1852339977, 9781852339975
StatePublished - 21 Sep 2005

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643


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