A frequency response function for linear, time-varying systems

DOI10.1007/BF01209689zbMath0855.93050OpenAlexW1968122135MaRDI QIDQ1924410

Marinus A. Kaashoek, Israel Gohberg, Joseph A. Ball

Publication date: 16 February 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209689

zbMATH Keywords

time-varying systeminterpolation problemsfrequency response functiontransmission zeropoint evaluationinput-output maps

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05) Model systems in control theory (93C99)

Related Items (6)

The infinite-dimensional standard and strict bounded real lemmas in continuous time: the storage function approach ⋮ Optimal approximation of discrete-time multirate systems on Hilbert spaces ⋮ Stability and Stabilizability for Linear Systems of Difference Equations ⋮ A time-varying analogue of Jensen's formula ⋮ Identification and frequency domain analysis of non-stationary and nonlinear systems using time-varying NARMAX models ⋮ Frequency-domain analysis of linear systems with periodic jumps: definition of hybrid transfer function, pole and zero

Cites Work

• On the solution of the minimal rational interpolation problem
• The poles and zeros of a linear time-varying system
• Structured matrices and unconstrained rational interpolation problems
• Bitangential interpolation for input-output maps of time-varying systems: The continuous time case
• Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems
• A Transfer-Function Approach to Linear Time-Varying Discrete-Time Systems
• The Arveson frequency response and systems theory
• Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory
• A behavioral approach to linear exact modeling
• Displacement Structure and Completion Problems
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