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- W315882281 abstract "In this paper, we present and analyse two Hopfield-like nonlinear networks, in continuous-time and discrete-time respectively. The proposed network is based on an autonomous linear system with a symmetric weight matrix, which is designed to be unstable, and a nonlinear function stabilizing the whole network thanks to a manipulated state variable called``ultimate SIR''. This variable is observed to be equal to the traditional Signal-to-Interference Ratio (SIR) definition in telecommunications engineering. The underlying linear system of the proposed continuous-time network is $dot{{mathbf x}} = {mathbf B} {mathbf x}$ where {bf B} is a real symmetric matrix whose diagonal elements are fixed to a constant. The nonlinear function, on the other hand, is based on the defined system variables called ``SIR''s. We also show that the ``SIR''s of all the states converge to a constant value, called ``system-specific Ultimate SIR''; which is equal to $frac{r}{lambda_{max}}$ where $r$ is the diagonal element of matrix ${bf B}$ and $lambda_{max}$ is the maximum (positive) eigenvalue of diagonally-zero matrix $({bf B} - r{bf I})$, where ${bf I}$ denotes the identity matrix. The same result is obtained in its discrete-time version as well. Computer simulations for binary associative memory design problem show the effectiveness of the proposed network as compared to the traditional Hopfield Networks." @default.
- W315882281 created "2016-06-24" @default.
- W315882281 creator A5069643479 @default.
- W315882281 date "2009-02-23" @default.
- W315882281 modified "2023-09-27" @default.
- W315882281 title "Ultimate SIR in Autonomous Linear Networks with Symmetric Weight Matrices, and Its Use to Stabilize the Network - A Hopfield-like network" @default.
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- W315882281 hasPublicationYear "2009" @default.
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