CAJ | 학술논문

研究Schur收敛性条件的扰动特征泛函凸组合模型的收敛性和稳定性，是实现对特征灵敏的前馈网络系统连续性和非线性控制的关键理论依据。传统分析方法采用的模糊免疫时滞环节进行完全跟踪补偿，构造李雅普诺夫泛函线性矩阵不等式，进行非线性凸组合模型构建，但模型因扰动特征泛函收敛效果不好。构建了基于Schur收敛性条件的扰动特征泛函凸组合模型，求解平均扰动特征泛函的平均互信息量，设定扰动特征连接权值下的系统函数，通过实时自适应学习算法对被控对象进行亏损特征分解，得到Schur收敛性条件，对凸组合模型的收敛性和渐进稳定性进行证明。最后进行数值算例分析，得出构建的凸组合模型收敛性和渐进稳定性较好，计算精度精确，寻优过程可靠。
연구Schur수렴성조건적우동특정범함철조합모형적수렴성화은정성，시실현대특정령민적전궤망락계통련속성화비선성공제적관건이론의거。전통분석방법채용적모호면역시체배절진행완전근종보상，구조리아보낙부범함선성구진불등식，진행비선성철조합모형구건，단모형인우동특정범함수렴효과불호。구건료기우Schur수렴성조건적우동특정범함철조합모형，구해평균우동특정범함적평균호신식량，설정우동특정련접권치하적계통함수，통과실시자괄응학습산법대피공대상진행우손특정분해，득도Schur수렴성조건，대철조합모형적수렴성화점진은정성진행증명。최후진행수치산례분석，득출구건적철조합모형수렴성화점진은정성교호，계산정도정학，심우과정가고。
The condition of Schur convergence of the perturbation characteristic functional convex combination model con?vergence and stability is researched, it is to achieve the characteristics of sensitive feed forward control network system con?tinuity and nonlinear critical theory. Fuzzy immune time delay is used in the traditional analysis method with full compensa?tion, Lyapunov functional linear matrix inequality is constructed, the nonlinear convex combination model is obtained, but the model due to disturbances of functional, convergence effect is not good. Construction of the disturbance characteristic functional convex combination model of Schur based on the average convergence conditions is obtained, calculate the aver?age disturbance characteristic functional mutual information, The disturbance characteristics connection system function weights is set, the adaptive learning algorithm is used for eigenvalue decomposition, the Schur convergence condition is ob?tained, the convergence and asymptotic stability property of convex combination model is proved. Finally, a numerical ex?ample analysis is taken, it concludes that the construction of the convex has better convergence and asymptotic stability, the calculation accuracy is improved, and the optimization process is reliable.