The local representation of incrementally scattering passive nonlinear systems

Shantanu Singh; George Weiss

doi:10.1007/s00498-024-00396-3

The local representation of incrementally scattering passive nonlinear systems

Shantanu Singh^*
, George Weiss

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We investigate the local (in time) description of incrementally scattering passive nonlinear systems. We show that these systems can be defined by a differential inclusion and a function that gives the current output in term of the current state and the current input. Our approach uses the theory of maximal monotone operators and Lax–Phillips-type nonlinear semigroups.

Original language	English
Article number	84
Pages (from-to)	81-112
Number of pages	32
Journal	Mathematics of Control, Signals, and Systems
Volume	37
Issue number	1
DOIs	https://doi.org/10.1007/s00498-024-00396-3
State	Published - Mar 2025

Funding

Funders	Funder number
Tel Aviv University
Israel Science Foundation	2802/21

Keywords

Lax-Phillips semigroup
Maximal monotone operators
Nonlinear infinite dimensional systems
Scattering passive system

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10.1007/s00498-024-00396-3

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The local representation of incrementally scattering passive nonlinear systems

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