216 citations · 552 across the 27 of their papers we have counts for
41 papers
Uniform Exponential Stability Analysis of Impulsive Linear Time-Invariant Systems on Banach and Hilbert Spaces: Non-Coercive and Coercive Stability Conditions
Corentin Briat, Francesco Ferrante, Christophe Prieur
We consider the uniform exponential stability analysis of infinite-dimensional impulsive systems defined on a Banach or Hilbert space, whose flow is governed by a fixed -semig…
Noise in Biomolecular Systems: Modeling, Analysis, and Control Implications
Corentin Briat, Mustafa Khammash
While noise is generally associated with uncertainties and often has a negative connotation in engineering, living organisms have evolved to adapt to (and even exploit) such uncert…
Structural Stability Properties of Antithetic Integral (Rein) Control with Output Inhibition
Corentin Briat, Mustafa Khammash
Perfect adaptation is a well-studied biochemical homeostatic behavior lying at the core of biochemical regulation. While the concepts of homeostasis and perfect adaptation are not…
Design of a synthetic integral feedback circuit: dynamic analysis and DNA implementation
Corentin Briat, Christoph Zechner, Mustafa Khammash
The design and implementation of regulation motifs ensuring robust perfect adaptation are challenging problems in synthetic biology. Indeed, the design of high-yield robust metabol…
Optimal and Control of Stochastic Reaction Networks
Corentin Briat, Mustafa Khammash
Stochastic reaction networks is a powerful class of models for the representation a wide variety of population models including biochemistry. The control of such networks has been…
Stability Analysis and Stabilization of Linear Symmetric Matrix-Valued Continuous, Discrete, and Impulsive Dynamical Systems -- A Unified Approach for the Stability Analysis of Linear Systems
Corentin Briat
Symmetric matrix-valued dynamical systems are an important class of systems that can describe important processes such as covariance/second-order moment processes, or processes on…
Hybrid -Performance Analysis and Control of Linear Time-Varying Impulsive and Switched Positive Systems
Corentin Briat
Recent works have shown that the and -gains are natural performance criteria for linear positive systems as they can be characterized using linear programs. Those p…
Ergodicity, Output-Controllability, and Antithetic Integral Control of Uncertain Stochastic Reaction Networks
Corentin Briat, Mustafa Khammash
The ergodicity and the output-controllability of stochastic reaction networks have been shown to be essential properties to fulfill to enable their control using, for instance, ant…
A biology-inspired approach to the positive integral control of positive systems -- the antithetic, exponential, and logistic integral controllers
Corentin Briat
The integral control of positive systems using nonnegative control input is an important problem arising, among others, in biochemistry, epidemiology and ecology. An immediate solu…
Ergodicity analysis and antithetic integral control of a class of stochastic reaction networks with delays
Corentin Briat, Mustafa Khammash
Delays are an important phenomenon arising in a wide variety of real world systems. They occur in biological models because of diffusion effects or as simplifying modeling elements…
Stability analysis and state-feedback control of LPV systems with piecewise constant parameters subject to spontaneous Poissonian jumps
Corentin Briat
LPV systems with piecewise constant parameters subject to spontaneous Poissonian jumps are a class of systems that does not seem to have been thoroughly considered in the literatur…
Stability and -to- performance analysis of uncertain impulsive linear positive systems with applications to the interval observation of impulsive and switched systems with constant delays
Corentin Briat
Solutions to the interval observation problem for delayed impulsive and switched systems with -performance are provided. The approach is based on first obtaining stability and…
A class of -to- and -to- interval observers for (delayed) Markov jump linear systems
Corentin Briat
We exploit recent results on the stability and performance analysis of positive Markov jump linear systems (MJLS) for the design of interval observers for MJLS with and without del…
-to- analysis of linear positive impulsive systems with application to the -to- interval observation of linear impulsive and switched systems
Corentin Briat
Sufficient conditions characterizing the asymptotic stability and the hybrid -gain of linear positive impulsive systems under minimum and range dwell-time constraints a…
Variance reduction for antithetic integral control of stochastic reaction networks
Corentin Briat, Ankit Gupta, Mustafa Khammash
The antithetic integral feedback motif recently introduced in Briat, Gupta & Khammash (Cell Systems, 2017) is known to ensure robust perfect adaptation for the mean dynamics of a g…
Stability analysis and stabilization of LPV systems with jumps and (piecewise) differentiable parameters using continuous and sampled-data controllers
Corentin Briat
Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV systems for which no tailored stability analysis and stabilizatio…
Simple interval observers for linear impulsive systems with applications to sampled-data and switched systems
Corentin Briat, Mustafa Khammash
Sufficient conditions for the design of a simple class of interval observers for linear impulsive systems subject to minimum and range dwell-time constraints are obtained and formu…
Stability analysis of LPV systems with piecewise differentiable parameters
Corentin Briat, Mustafa Khammash
Linear Parameter-Varying (LPV) systems with piecewise differentiable parameters is a class of LPV systems for which no proper analysis conditions have been obtained so far. To fill…
Co-design of aperiodic sampled-data min-jumping rules for linear impulsive, switched impulsive and sampled-data systems
Corentin Briat
Co-design conditions for the design of a jumping-rule and a sampled-data control law for impulsive and impulsive switched systems subject to aperiodic sampled-data measurements are…
Stability and performance analysis of linear positive systems with delays using input-output methods
Corentin Briat
It is known that input-output approaches based on scaled small-gain theorems with constant -scalings and integral linear constraints are non-conservative for the analysis of som…
Robust and structural ergodicity analysis of stochastic biomolecular networks involving synthetic antithetic integral controllers
Corentin Briat, Mustafa Khammash
Ergodicity and output controllability have been shown to be fundamental concepts for the analysis and synthetic design of closed-loop stochastic reaction networks, as exemplified b…
Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems
Corentin Briat
Several results regarding the stability and the stabilization of linear impulsive positive systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained. Th…
Robust ergodicity and tracking in antithetic integral control of stochastic biochemical reaction networks
Corentin Briat, Mustafa Khammash
Controlling stochastic reactions networks is a challenging problem with important implications in various fields such as systems and synthetic biology. Various regulation motifs ha…
Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints
Corentin Briat
Impulsive systems are a very flexible class of systems that can be used to represent switched and sampled-data systems. We propose to extend here the previously obtained results on…