Papers by Alejandro Sandoval
Lecture Notes in Computer Science, 2006
Some new stability properties of dynamic neural networks with different time-scales
International journal of neural systems, 2006
Dynamic neural networks with different time-scales include the aspects of fast and slow phenomeno... more Dynamic neural networks with different time-scales include the aspects of fast and slow phenomenons. Some applications require that the equilibrium points of these networks to be stable. The main contribution of the paper is that Lyapunov function and singularly perturbed technique are combined to access several new stable properties of different time-scales neural networks. Exponential stability and asymptotic stability are obtained by sector and bound conditions. Compared to other papers, these conditions are simpler. Numerical examples are given to demonstrate the effectiveness of the theoretical results.
Neural Processing Letters, 2007
Dynamic neural networks with different timescales include the aspects of fast and slow phenomenon... more Dynamic neural networks with different timescales include the aspects of fast and slow phenomenons. Some applications require that the equilibrium points of the designed networks are stable. In this paper, the passivity-based approach is used to derive stability conditions for dynamic neural networks with different timescales. Several stability properties, such as passivity, asymptotic stability, input-to-state stability and bounded input bounded output stability, are guaranteed in certain senses. A numerical example is also given to demonstrate the effectiveness of the theoretical results.
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001
In this paper, the passivity-based approach is used to derive a tuning algorithm for a class of d... more In this paper, the passivity-based approach is used to derive a tuning algorithm for a class of dynamic neural networks. Several stability properties, such as passivity, asymptotic stability, input-to-state stability and bounded input-bounded output stability, are guaranteed in certain senses.
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Papers by Alejandro Sandoval