✦ LIBER ✦

Frequency domain criteria for cellular neural networks

✍ Scribed by PERFETTI, RENZO

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 377 KB
Volume: 25
Category: Article
ISSN: 0098-9886
DOI: 10.1002/(sici)1097-007x(199703/04)25:2<55::aid-cta949>3.0.co;2-x

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✦ Synopsis

A dynamical system is called globally asymptotically stable if it has a unique equilibrium point which attracts every trajectory in state space. As a consequence its steady state response is insensitive to initial conditions and then depends only on the input. In this paper some criteria are presented for the global asymptotic stability of cellular neural networks (CNNs), concerning both discrete-time and continuous-time dynamics. The proposed criteria represent necessary and sufficient conditions that can easily be checked by computing the discrete Fourier transform of the template elements. For this reason they have been called frequency domain stability criteria. These criteria provide milder constraints on the template coefficients than required in existing results for general recurrent neural network models.

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