A Physically Motivated Class of Scattering Passive Linear Systems

DOI10.1137/110846403zbMath1264.93090OpenAlexW2068530803MaRDI QIDQ4905939

George Weiss, Olof J. Staffans

Publication date: 21 February 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110846403

zbMATH Keywords

unbounded operatorMaxwell's equationscontinuous embeddingclassical solutionsCayley transformbeam equationcontrol operatordual systemscattering conservative systemscattering passive systemsemigroup generatorsystem nodeobservation operatoroutput equationstate trajectorypivot spaceinput functioncorresponding output functionsimilar power balance equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Scattering theory of linear operators (47A40) Maxwell equations (35Q61)

Related Items (12)

Building systems from simple hyperbolic ones ⋮ A class of incrementally scattering-passive nonlinear systems ⋮ Strong stabilisation of a wind turbine tower model in the plane of the turbine blades ⋮ Second Order Systems on Hilbert Spaces with Nonlinear Damping ⋮ An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces ⋮ Well-posed systems -- the LTI case and beyond ⋮ Time-varying additive perturbations of well-posed linear systems ⋮ On scattering passive system nodes and maximal scattering dissipative operators ⋮ A semigroup characterization of well-posed linear control systems ⋮ Feedback theory extended for proving generation of contraction semigroups ⋮ Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations ⋮ De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane

This page was built for publication: A Physically Motivated Class of Scattering Passive Linear Systems