A5101929331- Advanced Mathematical Modeling in Engineering
- Stability and Controllability of Differential Equations
- Advanced Mathematical Physics Problems
- Advanced Numerical Methods in Computational Mathematics
- Industrial Technology and Control Systems
- Numerical methods for differential equations
- Metallic Glasses and Amorphous Alloys
- Wireless Sensor Networks and IoT
- Contact Mechanics and Variational Inequalities
- Advanced Sensor and Control Systems
Jilin University of Finance and Economics
2011-2023
Northeast Normal University
2013-2014
This paper is devoted to the study of exact controllability for a one-dimensional wave equation in domains with moving boundary. characterizes motion string fixed endpoint and other one. The control put on endpoint. When speed less than characteristic speed, by Hilbert uniqueness method (HUM), this established.
This paper addresses the study of controllability for a one-dimensional wave equation in domains with moving boundary. characterizes motion string fixed endpoint and other one moving. When speed is less than , by Hilbert Uniqueness Method, exact this established. Also, explicit dependence time on given.
We investigate the controllability for a one-dimensional wave equation in domains with moving boundary. This model characterizes small vibrations of stretched elastic string when one two endpoints varies. When speed endpoint is less than<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msqrt><mml:mi>e</mml:mi></mml:msqrt></mml:math>, by Hilbert uniqueness method, sidewise energy estimates and...
In this paper, we shall be concerned with interior controllability for a one-dimensional wave equation in domain moving boundary. When the speed of endpoint is less than certain constant which characteristic speed, obtain exact equation.
This paper is concerned with exact internal controllability for a one-dimensional wave equation in non-cylindrical domain. characterizes the motion of string fixed endpoint and other moving one. When speed less than speed, this established.
We consider a finite string vibrating described by one-dimensional wave equation. The left boundary point of the is fixed, while right moving. controls are put on both end points. Assume that speed moving be equal with characteristic shall prove existence weak solution for equation Cauchy-Goursat type. Moreover, sufficient conditions which ensure exact controllability formulated specific expression solution.
In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove exact null controllability of one wave equation with moving boundary. The endpoint has Neumann-type boundary condition, while fixed Dirichlet condition. We derived and obtained an time equation.
In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases. The have a mixed Dirichlet–Neumann condition. control put on the fixed endpoint with Neumann By using Hilbert Uniqueness Method, can be obtained.