• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 17 Issue 5
Oct.  2004
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Article Contents
XUYue-liang, LI Zhi. Properties and Computation of Linear SystemTransfer MatrixH∞-norm[J]. Journal of Southwest Jiaotong University, 2004, 17(5): 684-687.
Citation: XUYue-liang, LI Zhi. Properties and Computation of Linear System Transfer MatrixH∞-norm[J]. Journal of Southwest Jiaotong University, 2004, 17(5): 684-687.

Properties and Computation of Linear System Transfer MatrixH∞-norm

  • Publish Date: 25 Oct 2004
  • An equivalence theorem was derived to determine if the transfer matrixH∞-norm between two linear systems [A,B,C,D] and [A+BR-1DTC,BR-1/2,(I+DR-1DT)1/2C,0] is smaller than 1. This theoremwas then used to derive another theorem about the stability of system [A,B,C,D]. This equivalence theorem simplifies the proof of the theorem about the stability of system [A,B,C,D] and determination ofH∞-norm. An algorithm for computing theH∞-norm of the transfer matrix of system[A, B,C,D] was presented.

     

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      沈阳化工大学材料科学与工程学院 沈阳 110142

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