Mixed optimization approach to model approximation of descriptor systems

Q. Wang, J. Lam, Q. L. Zhang, Q. Y. Wang

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


A mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)265-280
Number of pages16
JournalJournal of Optimization Theory and Applications
Issue number2
Publication statusPublished - Nov 2006
Externally publishedYes


  • Descriptor systems
  • H norm
  • Hilbert-Schmidt norm
  • Model approximation

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics


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