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20152026
most citedBoundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space

44 citations · 98 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.OC2026

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…

math.OC2026

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…

math.OC2026

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…

math.OC2026★ 21 cited

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…

math.OC2026★ 6 cited

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…