A rolled-off passivity theorem

Chaffey, Thomas

doi:10.48550/arxiv.2108.07634

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Memristive Systems1

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2021

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“…The SRG of an operator is a region of the extended complex plane, from which the incremental properties of the operator can be easily read. SRGs were recently introduced by Ryu, Hannah, and Yin [74] for the study of monotone operator methods in optimization, and have been used for the study of systems in feedback by the authors in references [75], [76]. The SRG of an operator R ∶ H → H is defined as follows.…”

Section: Memristive Systemsmentioning

confidence: 99%

Monotone one-port circuits

Chaffey¹,

Sepulchre²

2021

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Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models. The theory is developed for maximal monotone one-port circuits, formed by the series and parallel interconnection of basic elements. An algorithmic method is presented for solving the periodic output of a periodically driven circuit using a maximal monotone splitting algorithm, which allows computation to be separated for each circuit component. A new splitting algorithm is presented, which applies to any monotone circuit defined as a port interconnection of monotone elements.The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement Switchlet n. 670645.

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Section: Memristive Systemsmentioning

confidence: 99%