A case study in model reduction of linear time-varying systems

DOI10.1016/j.automatica.2005.10.016zbMath1121.93331OpenAlexW1981836243MaRDI QIDQ2641760

Henrik Sandberg

Publication date: 23 August 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2005.10.016

zbMATH Keywords

discretizationlinear time-varying systemserror boundmodel reductiontime-varying state dimension

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20)

Related Items (8)

Hamilton's law of variable mass system and time finite element formulations for time-varying structures based on the law ⋮ Composite control of linear quadratic games in delta domain with disturbance observers ⋮ A posteriori error bounds for discrete balanced truncation ⋮ Interconnection-based model order reduction -- a survey ⋮ Computer-aided integrated design for machines with varying dynamics ⋮ Model order-reduction for discrete-time switched linear systems ⋮ Linear time-periodic dynamical systems: an H₂ analysis and a model reduction framework ⋮ On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers

Cites Work

• Unnamed Item
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• Model reduction of periodic systems: a lifting approach
• Identification and model reduction of time-varying discrete-time systems
• On generalized balanced realizations
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Linear time-variable systems: Balancing and model reduction
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• A Schur method for balanced-truncation model reduction
• A subspace approach to balanced truncation for model reduction of nonlinear control systems
• Error-bounds for balanced model-reduction of linear time-varying systems
• Balanced Truncation of Linear Time-Varying Systems

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