TY - JOUR
T1 - The local representation of incrementally scattering passive nonlinear systems
AU - Singh, Shantanu
AU - Weiss, George
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - Lax-Phillips semigroup
KW - Maximal monotone operators
KW - Nonlinear infinite dimensional systems
KW - Scattering passive system
UR - http://www.scopus.com/inward/record.url?scp=85200386211&partnerID=8YFLogxK
U2 - 10.1007/s00498-024-00396-3
DO - 10.1007/s00498-024-00396-3
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AN - SCOPUS:85200386211
SN - 0932-4194
JO - Mathematics of Control, Signals, and Systems
JF - Mathematics of Control, Signals, and Systems
ER -