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A Lagrange subspace approach to dissipation inequalities

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arxiv 2203.13527 v1 pith:PF52RYKF submitted 2022-03-25 math.OC

A Lagrange subspace approach to dissipation inequalities

classification math.OC
keywords dissipationextendedlagrangeapproachcaseclassicalconceptconsequences
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The standard dissipation inequality for passivity is extended from storage functions to general Lagrange subspaces. This is shown to have some interesting consequences. A classical factorization result for passive systems is extended to this generalized case, making use of the newly defined concept of the Hamiltonian lift of a DAE system.

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