Nicolas Augier
YOU?
Author Swipe
View article: On L¹ and time-optimal state transitions in piecewise linear models of gene-regulatory networks
On L¹ and time-optimal state transitions in piecewise linear models of gene-regulatory networks Open
View article: On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e1987"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> and time-optimal state transitions in piecewise linear models of gene-regulatory networks
On and time-optimal state transitions in piecewise linear models of gene-regulatory networks Open
View article: On the optimal control of birhythmic oscillatory PWA systems: an application to the p53-Mdm2 network
On the optimal control of birhythmic oscillatory PWA systems: an application to the p53-Mdm2 network Open
Accepted for publication in CDC 2025 - 64th IEEE Conference on Decision and Control, Dec 2025, Rio de Janeiro, Brazil
View article: Young Measure Relaxation Gaps for Controllable Systems with Smooth State Constraints
Young Measure Relaxation Gaps for Controllable Systems with Smooth State Constraints Open
View article: Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations Open
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-Sum of Squares (SOS) aka Lasserre hierarchy which allo…
View article: Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations Open
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-SOS aka Lasserre hierarchy which allows one to signifi…
View article: Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations
Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations Open
View article: Weak synchronization and convergence in coupled genetic regulatory networks: Applications to damped oscillators and multistable circuits
Weak synchronization and convergence in coupled genetic regulatory networks: Applications to damped oscillators and multistable circuits Open
The study of synchronization in coupled genetic networks is a very challenging topic that is usually analyzed on a case‐by‐case basis. Here we consider a general model of genetic networks and examine two forms of interconnection, either ho…
View article: Time‐optimal control of piecewise affine bistable gene‐regulatory networks
Time‐optimal control of piecewise affine bistable gene‐regulatory networks Open
We study the minimal‐time problem for a piecewise affine bistable switch. Motivated by applications in synthetic biology and biotechnology, the aim is to minimize the time needed for this system to achieve transitions between its two stabl…
View article: Qualitative Control Strategies for Synchronization of Bistable Gene Regulatory Networks
Qualitative Control Strategies for Synchronization of Bistable Gene Regulatory Networks Open
International audience
View article: Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation Open
View article: Optimization of adiabatic control strategies along non-mixing curves with singularities
Optimization of adiabatic control strategies along non-mixing curves with singularities Open
In this paper, we consider a system driven by a controlled Schrödinger equation with two external control inputs. Motivated by applications to the control of quantum systems having conical or semi-conical eigenvalue intersections, we propo…
View article: Control for synchronization of bistable piecewise affine genetic regulatory networks
Control for synchronization of bistable piecewise affine genetic regulatory networks Open
International audience
View article: Time-optimal control of piecewise affine bistable gene-regulatory networks: preliminary results
Time-optimal control of piecewise affine bistable gene-regulatory networks: preliminary results Open
View article: Effective adiabatic control of a decoupled Hamiltonian obtained by\n rotating wave approximation
Effective adiabatic control of a decoupled Hamiltonian obtained by\n rotating wave approximation Open
In this paper we study up to which extent we can apply adiabatic control\nstrategies to a quantum control model obtained by rotating wave approximation.\nIn particular, we show that, under suitable assumptions on the asymptotic\nregime bet…
View article: Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations
Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations Open
In the physics literature it is common to see the rotating wave approximation andthe adiabatic approximation used "in cascade" to justify the use of chirped pulses for two-level quantum systems driven by one external field, in particular w…
View article: On the compatibility of the adiabatic and rotating wave approximations for robust population transfer in qubits
On the compatibility of the adiabatic and rotating wave approximations for robust population transfer in qubits Open
In the physics literature it is common to see the rotating wave approximation and the adiabatic approximation used to justify the use of chirped pulses for two-level quantum systems driven by one external field, in particular when the re…
View article: Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems Open
We study one-parametric perturbations of finite dimensional real Hamiltonians\ndepending on two controls, and we show that generically in the space of\nHamiltonians, conical intersections of eigenvalues can degenerate into\nsemi-conical in…
View article: Adiabatic control of quantum systems
Adiabatic control of quantum systems Open
The main purpose of the thesis is to study the links between the singularities of the spectrum of a controlled quantum Hamiltonian and the controllability issues of the associated Schrodinger equation.The principal issue that is developed …
View article: On the compatibility between the adiabatic and the rotating wave approximations in quantum control
On the compatibility between the adiabatic and the rotating wave approximations in quantum control Open
In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in highe…
View article: Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems Open
We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersections of eigenvalues can degenerate into semi-conical inter…
View article: On the compatibility between the adiabatic and the rotating wave\n approximations in quantum control
On the compatibility between the adiabatic and the rotating wave\n approximations in quantum control Open
In this paper, we discuss the compatibility between the rotating-wave and the\nadiabatic approximations for controlled quantum systems. Although the paper\nfocuses on applications to two-level quantum systems, the main results apply in\nhi…
View article: Adiabatic Ensemble Control of a Continuum of Quantum Systems
Adiabatic Ensemble Control of a Continuum of Quantum Systems Open
In this article we discuss how to control a parameter-dependent family of quantum systems. Our technique is based on adiabatic approximation theory and on the presence of curves of conical eigenvalue intersections of the controlled Hamilto…