Corentin Briat

Publications132
h-index27
Citations2,754
Highly Influential Citations153
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  • Publications
  • Influence
Antithetic Integral Feedback Ensures Robust Perfect Adaptation in Noisy Biomolecular Networks.
Homeostasis is a running theme in biology. Often achieved through feedback regulation strategies, homeostasis allows living cells to control their internal environment as a means for surviving… Expand
  • 128
  • 17
  • PDF
Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints
TLDR
Stability analysis and control of impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Expand
  • 150
  • 14
  • PDF
Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
  • Corentin Briat
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 28 February 2011
TLDR
We prove that the Jensen's gap can be made arbitrarily small provided that the order of uniform fragmentation is chosen sufficiently large. Expand
  • 150
  • 12
  • PDF
Linear Parameter-Varying and Time-Delay Systems: Analysis, Observation, Filtering & Control
  • 94
  • 11
Robust stability and stabilization of uncertain linear positive systems via Integral Linear Constraints : L 1-and L ∞-gains characterization
Copositive linear Lyapunov functions are used along with di ssipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear… Expand
  • 74
  • 9
  • PDF
Linear Parameter-Varying and Time-Delay Systems
  • 106
  • 8
Antithetic Integral Feedback Ensures Robust Perfect Adaptation in Noisy Biomolecular Networks.
TLDR
The ability to adapt to stimuli is a defining feature of many biological systems and critical to maintaining homeostasis. Expand
  • 104
  • 7
  • PDF
A Scalable Computational Framework for Establishing Long-Term Behavior of Stochastic Reaction Networks
TLDR
We demonstrate that the stability properties of a wide class of biological networks can be assessed from our sufficient theoretical conditions that can be recast as efficient and scalable linear programs, well-known for their tractability. Expand
  • 85
  • 6
  • PDF
Stability analysis of uncertain sampled-data systems with incremental delay using looped-functionals
TLDR
The robust stability analysis of asynchronous and uncertain sampled-data systems with constant incremental input delay is addressed in the looped-functional framework. Expand
  • 74
  • 5
Stability analysis and control of a class of LPV systems with piecewise constant parameters
  • Corentin Briat
  • Mathematics, Computer Science
  • Syst. Control. Lett.
  • 1 August 2015
TLDR
Stability criteria characterizing the asymptotic stability of a class of LPV systems with piecewise constant parameters under constant and minimum dwell-time. Expand
  • 32
  • 5
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