Notes on μ and ℓ1 robustness tests

Gábor Z. Kovács, K. Hangos

Research output: Contribution to journalArticle

Abstract

An upper bound for the complex structured singular value related to a linear time-invariant system over all frequencies is given. It is in the form of the spectral radius of the H-norm matrix of SISO input-output channels of the system when uncertainty blocks are SISO. In the case of MIMO uncertainty blocks the upper bound is the -norm of a special non-negative matrix derived from H-norms of SISO channels of the system. The upper bound is fit into the inequality relation between the results of μ and ℓ1 robustness tests.

Original languageEnglish
Pages (from-to)565-578
Number of pages14
JournalKybernetika
Volume34
Issue number5
Publication statusPublished - 1998

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Upper bound
Robustness
MIMO systems
Structured Singular Value
Norm
Uncertainty
Matrix Norm
Nonnegative Matrices
Spectral Radius
Multiple-input multiple-output (MIMO)
Linear Time
Invariant
Output
Form

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Control and Systems Engineering

Cite this

Kovács, G. Z., & Hangos, K. (1998). Notes on μ and ℓ1 robustness tests. Kybernetika, 34(5), 565-578.

Notes on μ and ℓ1 robustness tests. / Kovács, Gábor Z.; Hangos, K.

In: Kybernetika, Vol. 34, No. 5, 1998, p. 565-578.

Research output: Contribution to journalArticle

Kovács, GZ & Hangos, K 1998, 'Notes on μ and ℓ1 robustness tests', Kybernetika, vol. 34, no. 5, pp. 565-578.
Kovács, Gábor Z. ; Hangos, K. / Notes on μ and ℓ1 robustness tests. In: Kybernetika. 1998 ; Vol. 34, No. 5. pp. 565-578.
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