Weak Convergence of Truncation Error of Differential Order Partial Derivative Equations Under Mathematical Chaos Theory

Authors

  • Zhirong Guo School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China
  • Xingyan Guo School of Management, Fudan University, Shanghai 200433, China

Abstract

Based on the theory that the stability of the boundary value of the differential order partial differential equation is the key factor in the stability control of the fuzzy two-degree-of-freedom control system, the weak convergence of the partial derivative truncation error is analyzed. First, by means of mixed-logic mapping, the quasi-linear differential equation of the nonlinear dynamic mixed control model is established; then, the constraint problem of the partial differential equation is analyzed using the differential equation of the eigenvalue inverse stable solution with the introduction of boundary conditions; finally, the quasi-linear equation is used with the time-delay characteristic. The function-dependent properties of differential equations traverse the solution space, and the truncation error analysis of the weak convergence and stability of the solution space is obtained. The results show that the differential order partial differential equations have weak convergence of truncation error and good convergence in a fuzzy
two-degree-of-freedom control system.

Keywords: time-delay effect; quasi-linear differential equation; truncation error weak convergence problem; convergence

Cite As

Z. Guo, X. Guo, "Weak Convergence of Truncation Error of Differential Order Partial Derivative
Equations Under Mathematical Chaos Theory", Engineering Intelligent Systems, vol. 32 no. 3, pp.
277-284, 2024.





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Published

2024-05-01

Issue

Vol. 32 No. 3 (2024): International Journal of Engineering Intelligent Systems

Section

Article

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