### 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 ℓ_{1} robustness tests.

Original language | English |
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Pages (from-to) | 565-578 |

Number of pages | 14 |

Journal | Kybernetika |

Volume | 34 |

Issue number | 5 |

Publication status | Published - 1998 |

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### ASJC Scopus subject areas

- Human-Computer Interaction
- Control and Systems Engineering

### Cite this

_{1}robustness tests.

*Kybernetika*,

*34*(5), 565-578.

**Notes on μ and ℓ _{1} robustness tests.** / Kovács, Gábor Z.; Hangos, K.

Research output: Contribution to journal › Article

_{1}robustness tests',

*Kybernetika*, vol. 34, no. 5, pp. 565-578.

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TY - JOUR

T1 - Notes on μ and ℓ1 robustness tests

AU - Kovács, Gábor Z.

AU - Hangos, K.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0040635287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040635287&partnerID=8YFLogxK

M3 - Article

VL - 34

SP - 565

EP - 578

JO - Kybernetika

JF - Kybernetika

SN - 0023-5954

IS - 5

ER -