### Abstract

The delay-dependent passive filtering problem is studied for delayed neural networks. A new delay-dependent passive filter is proposed such that the filtering error system is asymptotically stable and passive from the external disturbance to the output error. The desired filter matrix gain is characterized in terms of the solution to a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.

Original language | English |
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Pages (from-to) | 1040-1047 |

Number of pages | 8 |

Journal | Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering |

Volume | 224 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2010 Dec 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- delayed neural networks
- linear matrix inequality (LMI)
- Lyapunov-Krasovskii stability theory
- passive filtering

### ASJC Scopus subject areas

- Mechanical Engineering
- Control and Systems Engineering

### Cite this

**Linear matrix inequality approach to passive filtering for delayed neural networks.** / Ahn, Choon Ki.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Linear matrix inequality approach to passive filtering for delayed neural networks

AU - Ahn, Choon Ki

PY - 2010/12/1

Y1 - 2010/12/1

N2 - The delay-dependent passive filtering problem is studied for delayed neural networks. A new delay-dependent passive filter is proposed such that the filtering error system is asymptotically stable and passive from the external disturbance to the output error. The desired filter matrix gain is characterized in terms of the solution to a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.

AB - The delay-dependent passive filtering problem is studied for delayed neural networks. A new delay-dependent passive filter is proposed such that the filtering error system is asymptotically stable and passive from the external disturbance to the output error. The desired filter matrix gain is characterized in terms of the solution to a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.

KW - delayed neural networks

KW - linear matrix inequality (LMI)

KW - Lyapunov-Krasovskii stability theory

KW - passive filtering

UR - http://www.scopus.com/inward/record.url?scp=78650138456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650138456&partnerID=8YFLogxK

U2 - 10.1243/09596518JSCE1056

DO - 10.1243/09596518JSCE1056

M3 - Article

AN - SCOPUS:78650138456

VL - 224

SP - 1040

EP - 1047

JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

SN - 0959-6518

IS - 8

ER -