44 citations · 59 across the 7 of their papers we have counts for
9 papers
Minimal null control time of some 1D linear hyperbolic balance laws with constant coefficients and properties of related kernel equations
Long Hu, Guillaume Olive
In this work, we study the null controllability by one-sided boundary controls of one-dimensional hyperbolic balance laws with constant coefficients. Our first result shows that, w…
A method to determine the minimal null control time of 1D linear hyperbolic balance laws
Long Hu, Guillaume Olive
In this paper we introduce a method to find the minimal control time for the null controllability of 1D first-order linear hyperbolic systems by one-sided boundary controls when th…
The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws
Long Hu, Guillaume Olive
In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are s…
Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix
Long Hu, Guillaume Olive
In this paper, we are interested in the minimal null control time of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. Our main result is an exp…
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order linear hyperbolic systems
Long Hu, Guillaume Olive
The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order linear hyperbo…
Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space
Jean-Michel Coron, Long Hu, Guillaume Olive +1
In this article we are interested in the boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. We e…
Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls
Long Hu, Guillaume Olive
In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls are acting on the same side o…
Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
Jean-Michel Coron, Long Hu, Guillaume Olive
This paper is devoted to a simple and new proof on the optimal finite control time for general linear coupled hyperbolic system by using boundary feedback on one side. The feedback…
Stabilization and controllability of first-order integro-differential hyperbolic equations
Jean-Michel Coron, Long Hu, Guillaume Olive
In the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time…