Passive linear stationary dynamical scattering systems with continuous time
From MaRDI portal
Publication:1906515
DOI10.1007/BF01195483zbMath0838.47004MaRDI QIDQ1906515
M. A. Nudel'man, Damir Z. Arov
Publication date: 30 May 1996
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Cayley transformconservative scattering systemoptimal passive scatteringpassive scatteringsystems with separable Hilbert inner, input and output spaces
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Cites Work
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- Dissipative dynamical systems: basic input-output and state properties
- Scattering theory for dissipative hyperbolic systems
- On the Lax-Phillips nonconservative scattering theory
- Discrete time systems, operator models, and scattering theory
- Dissipative dynamical systems. I: General theory
- Bilinear Transformation of Infinite-Dimensional State-Space Systems and Balanced Realizations of Nonrational Transfer Functions
- Realization theory in Hilbert space
- An Application of Functional Operator Models to Dissipative Scattering Theory
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Infinite-Dimensional Continuous-Time Linear Systems: Stability and Structure Analysis
- Weak Wave Operators for the Nonlinear Wave Equation
- On unitary couplings of semiunitary operators
