Theoretical analysis for eigenvalues of general dynamical system

Abstract

Different engineering systems such as aircraft wings, surface bridges controlled by aerodynamic forces, mechanical and civil structures interacting with liquids or soil, or systems with time delays have multiple mathematical models, particularly those that govern the dynamics of their complex engineering systems. In the paper, the researcher formulated the problem of the intrinsic value of the dynamic systems and performed a mathematical analysis of the intrinsic values and derived a second derivative relationship between the Eigenvectors, thus obtaining the sensitivities of the intrinsic values and vector values in relation to the system under study. This method was used to analyze the problem of intrinsic value, which arises in the analysis of the surface of the bridge under the dynamics of aerodynamics as one of the most important engineering applications.