Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Computer Science and Engineering, Chongqing University, People's Republic of China.

Published: April 2003

In this paper, the dynamical characteristics of hybrid bidirectional associative memory neural networks with constant transmission delays are investigated. Without assuming symmetry of synaptic connection weights and monotonicity and differentiability of activation functions, Halanay-type inequalities (which are different from the approach of constructing Lyapunov functionals) are employed to derive the delay-independent sufficient conditions under which the networks converge exponentially to the equilibria associated with temporally uniform external inputs. Our results are less conservative and restrictive than previously known results.

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http://dx.doi.org/10.1103/PhysRevE.67.042901DOI Listing

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