Boundary Observability Of Space Semi Discretization Of Double Elastic Space

In recent years,the boundary observation and boundary control of elastic systems have been extensively studied.In most cases,it is not possible or quite complex to describe the partial differential equations of the partial parametric system.Therefore,in practical application,in order to facilitate the calculation and engineering implementation,the use of myopia calculation method to solve partial differential equations and processing of segment parameter control system has important theoretical significance and practical value.In this paper,we use the multiplier method and the filtering method to study the uniform boundary observability of the semi-discrete space of the double elastic chord space.Firstly,the finite difference scheme is used to semi-discretize the two-elastic string equation,and the energy of the discrete system is analyzed.The system is energy conservation system.Secondly,the eigenvalues and eigenvectors of the discrete systems are analyzed.Eigenvalues and eigenvectors.Again,through the observation of the boundary of the eigenvector,it is pointed out that the discrete system does not have uniform observability.Finally,by using the multiplier method,the uniformity of the system is obtained by selecting the appropriate filtering space.The first chapter is the introduction,the brief introduction to the background of this article,the development of the concept of the development of an overview of the main work of this paper,the second chapter is to prepare knowledge,introduce the properties of the observability,application examples,To the definition,theorem,the third chapter,the study of double elastic chord space semi-discretization consistency,discretization system spectral analysis,observation inequality proof,discretization system consistent and observable...