비선형 미분방정식으로 표현되는 비선형 시스템의 해석을 위한 볼테리 시리즈의 응용

Application of Volterra Functional Series to the Analysis of Nonlinear Systems Represented by Nonlinear Differential Equations

The input-output relation for nonlinear systems can e explicitly represented by the volterra functional series and it is characterized by the Volterra kernels. A block diagram reduction method is proposed to determine the Volterra kernels for nonlinear differential equations and is compared with the direct substitution techniques. The former method can significantly reduce the computational complexity. A degree of nonlinearity is defined and analyzed for the analysis of nonlinear systems.