A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays

Chien-Yu Lu; Te Jen Su; Wen-Jye Shyr

doi:10.1109/ICICIC.2006.13

A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays

Chien-Yu Lu, Te Jen Su, Wen-Jye Shyr

Department of Industrial Education and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper considers the problem of global robust stability analysis for a class of bidirectional associative memory time-varying delayed neural networks with norm-bounded time-varying parameter uncertainties. The activation functions are assumed to be globally Lipschitz continuous. Globally delay-dependent robust stability criteria are derived in the form of linear matrix inequalities by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result. Numerical examples are given to illustrate the significant improvement on the conservativeness of the delay bound over some reported results in the literature.

Original language	English
Title of host publication	First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06
Pages	591-594
Number of pages	4
DOIs	https://doi.org/10.1109/ICICIC.2006.13
Publication status	Published - 2006 Dec 1
Event	1st International Conference on Innovative Computing, Information and Control 2006, ICICIC'06 - Beijing, United States Duration: 2006 Aug 30 → 2006 Sep 1

Publication series

Name	First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06

Other

Other	1st International Conference on Innovative Computing, Information and Control 2006, ICICIC'06
Country	United States
City	Beijing
Period	06-08-30 → 06-09-01

All Science Journal Classification (ASJC) codes

Computer Science(all)
Mechanical Engineering

Access to Document

10.1109/ICICIC.2006.13

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Lu, C-Y., Su, T. J., & Shyr, W-J. (2006). A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays. In First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06 (pp. 591-594). [1691869] (First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06). https://doi.org/10.1109/ICICIC.2006.13

Lu, Chien-Yu ; Su, Te Jen ; Shyr, Wen-Jye. / A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays. First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06. 2006. pp. 591-594 (First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06).

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title = "A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays",

abstract = "This paper considers the problem of global robust stability analysis for a class of bidirectional associative memory time-varying delayed neural networks with norm-bounded time-varying parameter uncertainties. The activation functions are assumed to be globally Lipschitz continuous. Globally delay-dependent robust stability criteria are derived in the form of linear matrix inequalities by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result. Numerical examples are given to illustrate the significant improvement on the conservativeness of the delay bound over some reported results in the literature.",

author = "Chien-Yu Lu and Su, {Te Jen} and Wen-Jye Shyr",

year = "2006",

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doi = "10.1109/ICICIC.2006.13",

language = "English",

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booktitle = "First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06",

note = "1st International Conference on Innovative Computing, Information and Control 2006, ICICIC'06 ; Conference date: 30-08-2006 Through 01-09-2006",

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Lu, C-Y, Su, TJ & Shyr, W-J 2006, A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays. in First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06., 1691869, First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06, pp. 591-594, 1st International Conference on Innovative Computing, Information and Control 2006, ICICIC'06, Beijing, United States, 06-08-30. https://doi.org/10.1109/ICICIC.2006.13

A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays. / Lu, Chien-Yu; Su, Te Jen; Shyr, Wen-Jye.

First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06. 2006. p. 591-594 1691869 (First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - This paper considers the problem of global robust stability analysis for a class of bidirectional associative memory time-varying delayed neural networks with norm-bounded time-varying parameter uncertainties. The activation functions are assumed to be globally Lipschitz continuous. Globally delay-dependent robust stability criteria are derived in the form of linear matrix inequalities by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result. Numerical examples are given to illustrate the significant improvement on the conservativeness of the delay bound over some reported results in the literature.

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Lu C-Y, Su TJ, Shyr W-J. A new delay-dependent approach to robust stability for uncertain hybrid bidirectional associative memory neural networks with time-varying delays. In First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06. 2006. p. 591-594. 1691869. (First International Conference on Innovative Computing, Information and Control 2006, ICICIC'06). https://doi.org/10.1109/ICICIC.2006.13