44 citations · 98 across the 11 of their papers we have counts for
16 papers
Minimal control time of some 1D first-order linear hyperbolic systems with row rank deficient boundary coupling matrix
Long Hu, Guillaume Olive, Zengzhi Xin
The minimal control time of one-dimensional first-order linear hyperbolic systems is by now well-known when the boundary coupling matrix is full row rank. The goal of this article…
Control of 1D first-order linear hyperbolic systems: a brief survey
Long Hu, Guillaume Olive
At the occasion of the 70th birthday anniversary of Jean-Michel Coron, we review the literature on the control of 1D first-order linear hyperbolic systems, a topic where he has mad…
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…
Boundary approximate controllability of some linear parabolic systems
Guillaume Olive
This paper focuses on the boundary approximate controllability of two classes of linear parabolic systems, namely a system of heat equations coupled through constant terms and…
Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary
Guillaume Olive
In this work we study the null-controllability properties of linear parabolic systems with constant coefficients in the case where several controls are acting on different distribu…
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…
Local regularity for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
Soufian Abja, Guillaume Olive
In this paper, we establish a local regularity result for solutions to complex degenerate nonlinear elliptic equations when they…
Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
Soufian Abja, Sławomir Dinew, Guillaume Olive
We prove sharp uniform estimates for strong supersolutions of a large class of fully nonlinear degenerate elliptic complex equations. Our findings rely on ideas of Kuo and Trudinge…
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…
Compact perturbations of controlled systems
Michel Duprez, Guillaume Olive
In this article we study the controllability properties of general compactly perturbed exactly controlled linear systems with admissible control operators. Firstly, we show that ap…
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…