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Method for designing real number domain smooth time varying Sylvester equation solver

A technology for solving equations and designing methods, applied in complex mathematical operations, etc., can solve impractical and unsatisfactory problems

Inactive Publication Date: 2017-11-14
SOUTH CHINA UNIV OF TECH
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Problems solved by technology

This is impractical and unsatisfactory when neural networks are used in practical systems

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  • Method for designing real number domain smooth time varying Sylvester equation solver
  • Method for designing real number domain smooth time varying Sylvester equation solver
  • Method for designing real number domain smooth time varying Sylvester equation solver

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[0055] A design method of a real number domain smooth time-varying Sylvester equation solver based on variable parameter convergence differential neurodynamics method, the flow chart of the method is as follows figure 1 shown, including the following steps:

[0056] 1) formulate the actual physical system or numerical solution system (linear or approximately linear system) with the smooth time-varying Sylvester equation in the real number domain by mathematical modeling methods, and establish the smooth time-varying Sylvester equation in the real number domain of the system, the equation The time-varying parameter matrix of is composed of actual system sensors or combinations of expected realization goals;

[0057] 2) deriving the time-varying parameter matrix of the smooth time-varying Sylvester equation of the system in the step 1) in the time domain to obtain the time derivative of the time-varying parameter matrix;

[0058] 3) According to the real number field smooth tim...

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Abstract

The invention discloses a design method of a smooth time-varying Sylvester equation solver in the real number field, which comprises the following steps: 1) formulating an actual physical system or a numerical solution system, and establishing the smooth time-varying Sylvester equation in the real number field of the system; 2) Deriving the time-varying parameter matrix of the time-varying Sylvester equation of the system in step 1) in the time domain to obtain the time derivative of the time-varying parameter matrix; 3) according to the time-varying Sylvester equation of the system, design the system's Deviation function equation; 4) According to the system deviation function equation, the time-varying Sylvester equation of the system is designed by using the monotonically increasing odd activation function through the real number field variable parameter convergence differential neurodynamics method and the obtained time-varying parameter matrix and its time derivative 5) The network state solution obtained by solving the time-varying Sylvester equation solver is the only optimal solution of the time-varying Sylvester equation. The method can quickly and accurately approach the correct solution of the problem, and can well solve various time-varying problems.

Description

technical field [0001] The invention relates to the field of design methods of linear equation solvers, in particular to a design method of a real number field smooth time-varying Sylvester equation solver based on a variable parameter convergence differential neural dynamics method. Background technique [0002] Artificial neural network, as a parallel distributed signal processing mathematical model method for simulating animal nervous system, has attracted the attention of many researchers and engineers in the past few decades. As an important network form in artificial neural networks, recurrent neural network methods are widely used in many fields, such as speech recognition, non-convex optimization, algebraic problems, time-varying problems, unmanned aerial vehicles and robots, etc. Since Hopfield first proposed a recursive neural network method with fixed weights to study the stability of the network by using energy functions for design in the 1880s, this research on ...

Claims

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Application Information

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IPC IPC(8): G06F17/13G06F17/16
CPCG06F17/13G06F17/16
Inventor 张智军郑陆楠
Owner SOUTH CHINA UNIV OF TECH
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