一类高阶微分方程小迟滞渐进解稳定性分析

Small Hysteretic Asymptotic Solution Stability Analysis of High Order Nonlinear Differential

具有分布时滞的非线性高阶微分方程小迟滞稳定解渐进分析在系统理论和弹性力学中有重要实用价值。生成的对称复矩阵稳定解是构建含有时滞和的连续系统的基础。通过构建非线性高阶微分方程,通过有确定条件的反复循环进行小迟滞寻优,构建迟滞渐进解的初始值空间区域,得到非线性高阶微分方程的渐进解状态模型,根据目标函数值来调整解的渐进稳定性,求得的非线性高阶微分方程小迟滞渐进解的稳定性满足约束条件,得到一类由非线性高阶微分方程生成的对称复矩阵的稳定解,作为构建含有时滞和的连续系统的基础。通过理论证明和数值分析,得出分布时滞的非线性高阶微分方程小迟滞解具有稳定性的结论。

High order nonlinear differential equation with a small hysteresis stable distribution solutions of delay progres-sive analysis has an important practical value in the system theory and elastic mechanics. The generated symmetry complex matrix stable solution is the basis to construct containing continuous systems with time delay and the. By building a nonlin-ear differential equation of higher order, small hysteresis optimization through repeated cycles to determine the condition, to construct asymptotic solutions of initial value of hysteresis region of space, get the asymptotic solutions of high order non-linear differential equation of state model, according to the objective function value to adjust the asymptotic stability of solu-tions, small hysteresis nonlinear high-order differential equation asymptotic stability of solutions to meet the constraints, is obtained for a class of high order differential equations generated by non-linear complex symmetric matrix stable solution, as the basis of continuous systems with time-delay and containing the. Through theoretical proof and numerical analysis, draws a small hysteresis nonlinear differential equation of higher order distribution of solutions of delay with the conclu-sions of stability.