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

Authors: Ju H. Park, O.M. Kwon

Addresses: 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

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.

Keywords: BAM neural networks; LMI; global asymptotic stability; time delays; linear matrix inequality; bidirectional associative memory.

DOI: 10.1504/IJSCC.2008.021120

International Journal of Systems, Control and Communications, 2008 Vol.1 No.2, pp.170 - 178

Published online: 04 Nov 2008 *

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