LMI-based stability criteria for neural networks with multiple time-varying delays

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physd.2005.09.013

Title:	LMI-based stability criteria for neural networks with multiple time-varying delays
Authors:	He, Y. Wang, Q.-G. Wu, M.
Keywords:	Delay-dependent Linear matrix inequality (LMI) Neural networks Stability Time-varying delay
Issue Date:	1-Dec-2005
Citation:	He, Y., Wang, Q.-G., Wu, M. (2005-12-01). LMI-based stability criteria for neural networks with multiple time-varying delays. Physica D: Nonlinear Phenomena 212 (1-2) : 126-136. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physd.2005.09.013
Abstract:	In this paper, the stability of neural networks with multiple time-varying delays is studied. A new class of Lyapunov-Krasovskii functionals is constructed and the S-procedure and free-weighting matrix method are employed to derive a delay-dependent stability criterion, from which a delay-independent criterion is obtained as a special case. Moreover, the result is also extended to delay-dependent and rate-independent stability criteria for multiple unknown time-varying delays. Finally, numerical examples are given to illustrate the effectiveness of our methods and improvement over the existing ones. © 2005 Elsevier B.V. All rights reserved.
Source Title:	Physica D: Nonlinear Phenomena
URI:	http://scholarbank.nus.edu.sg/handle/10635/56506
ISSN:	01672789
DOI:	10.1016/j.physd.2005.09.013
Appears in Collections:	Staff Publications

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