On scattering passive system nodes and maximal scattering dissipative operators

DOI10.1090/S0002-9939-2012-11887-8zbMath1275.47077OpenAlexW2069395106MaRDI QIDQ4911839

Olof J. Staffans

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11887-8

zbMATH Keywords

well-posed linear systemmaximally dissipative operatorscattering passive system node

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Linear accretive operators, dissipative operators, etc. (47B44) Axiomatic systems theory (93A05)

Related Items (5)

Well-posed systems -- the LTI case and beyond ⋮ A conservative de Branges-Rovnyak functional model for operator Schur functions on \(\mathbb C^+\) ⋮ 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

Cites Work

• Two classes of passive time-varying well-posed linear systems
• Conservative boundary control systems
• Passive and conservative continuous-time impedance and scattering systems. I: Well-posed systems.
• Passive linear stationary dynamical scattering systems with continuous time
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• When is a linear system conservative?
• A Physically Motivated Class of Scattering Passive Linear Systems
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