Model conversions of uncertain linear systems using a scaling and squaring geometric series method

Leang S. Shieh, Jingfong Gu, Jason Sheng-Hon Tsai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes a scaling and squaring geometric series method along with the inverse-geometric series method for finding discrete-time (continuous-time) structured uncertain linear models from continuous-time (discrete-time) structured uncertain linear systems. The above methods allow the use of well-developed theorems and algorithms in the discrete-time (continuous-time) domain to indirectly solve the continuous-time (discretetime) domain problems. Moreover, these methods enhance the flexibility in modeling and control of a hybrid composite system. It has been shown that the commonly used bilinear approximation model is a specific class of the proposed geometric series model.

Original languageEnglish
Pages (from-to)445-463
Number of pages19
JournalCircuits, Systems, and Signal Processing
Volume14
Issue number4
DOIs
Publication statusPublished - 1995 Jul 1

Fingerprint

Geometric series
Uncertain Systems
Linear systems
Continuous Time
Discrete-time
Linear Systems
Scaling
Large scale systems
Model
Time Domain
Linear Model
Flexibility
Composite
Approximation
Theorem
Modeling

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Applied Mathematics

Cite this

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Model conversions of uncertain linear systems using a scaling and squaring geometric series method. / Shieh, Leang S.; Gu, Jingfong; Tsai, Jason Sheng-Hon.

In: Circuits, Systems, and Signal Processing, Vol. 14, No. 4, 01.07.1995, p. 445-463.

Research output: Contribution to journalArticle

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