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Balanced approximation can be optimal

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Publication:686217
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DOI10.1016/0167-6911(93)90100-KzbMath0784.93016OpenAlexW2016697607MaRDI QIDQ686217

Juan-Miguel Gracia

Publication date: 14 November 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90100-k


zbMATH Keywords

balanced approximationsHankel norm


Mathematics Subject Classification ID

System structure simplification (93B11)





Cites Work

  • Time-reversible Hamiltonian systems
  • Dissipative dynamical systems. II: Linear systems with quadratic supply rates
  • All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
  • Controller reduction: concepts and approaches
  • The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
  • Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
  • Principal component analysis in linear systems: Controllability, observability, and model reduction
  • Model reduction via balanced state space representations
  • Model reduction of linear conservative mechanical systems
  • H/sub ∞/-norm approximation of systems by constant matrices and related results




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