LMI-based criterion for global asymptotic stability of BAM neural networks with time delays

Authors:
Ju H. Park;O. M. Kwon
Affiliations:
Robust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea.;School of Electrical and Computer Engineering, 12 Gaeshin-Dong, Heungduk-Gu, Chungbuk National University, Cheongju, Republic of Korea
Venue:
International Journal of Systems, Control and Communications
Year:
2008

Citing 3
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Abstract

This paper presents a stability criterion for global asymptotic stability of the equilibrium point for Bidirectional Associative Memory (BAM) neural networks with fixed time delays. An approach combining the Lyapunov-Krasovskii functional with Linear Matrix Inequality (LMI) is taken to investigate the stability of the system. A delay-dependent LMI criterion is derived. Finally, a numerical example is given to illustrate the results.